diff --git a/src/dialect.ts b/src/dialect.ts
index 5a4b40ec77..0c04d7598b 100644
--- a/src/dialect.ts
+++ b/src/dialect.ts
@@ -47,4 +47,5 @@ const processDialectFormatOptions = ({
     (options.tabularOnelineClauses ?? options.onelineClauses).map(name => [name, true])
   ),
   identifierDashes: Boolean(tokenizerOptions.identChars?.dashes),
+  operatorsCombine: Boolean(options.operatorsCombine),
 });
diff --git a/src/formatter/ExpressionFormatter.ts b/src/formatter/ExpressionFormatter.ts
index 98d00d0b0e..5005dec6a8 100644
--- a/src/formatter/ExpressionFormatter.ts
+++ b/src/formatter/ExpressionFormatter.ts
@@ -52,6 +52,9 @@ export interface DialectFormatOptions {
   onelineClauses: string[];
   // List of clauses that should be formatted on a single line in tabular style
   tabularOnelineClauses?: string[];
+  // True in dialects that lex a run of operator characters as a single operator
+  // (PostgreSQL, Redshift), where two operators densed together re-parse as one.
+  operatorsCombine?: boolean;
 }
 
 // Contains the same data as DialectFormatOptions,
@@ -64,6 +67,8 @@ export interface ProcessedDialectFormatOptions {
   // In such dialects the "-" operator must keep its surrounding spaces,
   // otherwise "a - b" densed to "a-b" would re-parse as a single identifier.
   identifierDashes: boolean;
+  // See DialectFormatOptions.operatorsCombine.
+  operatorsCombine: boolean;
 }
 
 /** Formats a generic SQL expression */
diff --git a/src/formatter/Formatter.ts b/src/formatter/Formatter.ts
index 8f10f87791..48a723458e 100644
--- a/src/formatter/Formatter.ts
+++ b/src/formatter/Formatter.ts
@@ -48,7 +48,10 @@ export default class Formatter {
       cfg: this.cfg,
       dialectCfg: this.dialect.formatOptions,
       params: this.params,
-      layout: new Layout(new Indentation(indentString(this.cfg))),
+      layout: new Layout(
+        new Indentation(indentString(this.cfg)),
+        this.dialect.formatOptions.operatorsCombine
+      ),
     }).format(statement.children);
 
     if (!statement.hasSemicolon) {
diff --git a/src/formatter/Layout.ts b/src/formatter/Layout.ts
index 39fd4071b7..8682fa54b6 100644
--- a/src/formatter/Layout.ts
+++ b/src/formatter/Layout.ts
@@ -25,7 +25,7 @@ export type LayoutItem = WS.SPACE | WS.SINGLE_INDENT | WS.NEWLINE | WS.MANDATORY
 export default class Layout {
   private items: LayoutItem[] = [];
 
-  constructor(public indentation: Indentation) {}
+  constructor(public indentation: Indentation, private operatorsCombine = false) {}
 
   /**
    * Appends token strings and whitespace modifications to SQL string.
@@ -57,10 +57,7 @@ export default class Layout {
           this.items.push(WS.SINGLE_INDENT);
           break;
         default:
-          // Don't glue a layout item starting with "-" directly onto one ending with
-          // "-": that forms "--", which re-parses as a line comment and
-          // swallows the rest of the line (e.g. densing "a - -b" into "a--b").
-          if (item.startsWith('-') && this.lastItemEndsWith('-')) {
+          if (!this.isItemSafeToAppend(item)) {
             this.items.push(WS.SPACE);
           }
           this.items.push(item);
@@ -68,9 +65,34 @@ export default class Layout {
     }
   }
 
-  private lastItemEndsWith(suffix: string): boolean {
+  /**
+   * Whether `item` can be written directly after the preceding item without the
+   * two re-lexing as a single token.
+   *
+   * Only an item starting with "-" or "+" is at risk, and only when the preceding
+   * item ends in operator characters. "-" after a trailing "-" forms "--", a line
+   * comment that swallows the rest of the line, in every dialect. In a dialect that
+   * lexes a run of operator characters as one operator, a sign after an operator
+   * containing any of ~!@#%^&|`? merges too: "5 % -2" written densely as "5%-2"
+   * re-parses as the operator "%-".
+   */
+  private isItemSafeToAppend(item: string): boolean {
+    if (!item.startsWith('-') && !item.startsWith('+')) {
+      return true;
+    }
     const lastItem = last(this.items);
-    return typeof lastItem === 'string' && lastItem.endsWith(suffix);
+    if (typeof lastItem !== 'string') {
+      return true;
+    }
+    // The operator characters the new item would be written against.
+    const precedingOperatorChars = /[-+*/<>=~!@#%^&|`?]+$/u.exec(lastItem)?.[0];
+    if (!precedingOperatorChars) {
+      return true;
+    }
+    if (item.startsWith('-') && precedingOperatorChars.endsWith('-')) {
+      return false;
+    }
+    return !(this.operatorsCombine && /[~!@#%^&|`?]/u.test(precedingOperatorChars));
   }
 
   private trimHorizontalWhitespace() {
diff --git a/src/languages/postgresql/postgresql.formatter.ts b/src/languages/postgresql/postgresql.formatter.ts
index 08697d088e..5eae3858cf 100644
--- a/src/languages/postgresql/postgresql.formatter.ts
+++ b/src/languages/postgresql/postgresql.formatter.ts
@@ -406,5 +406,6 @@ export const postgresql: DialectOptions = {
     alwaysDenseOperators: ['::', ':'],
     onelineClauses: [...standardOnelineClauses, ...tabularOnelineClauses],
     tabularOnelineClauses,
+    operatorsCombine: true,
   },
 };
diff --git a/src/languages/redshift/redshift.formatter.ts b/src/languages/redshift/redshift.formatter.ts
index ef4a8e2f9b..619a507cd6 100644
--- a/src/languages/redshift/redshift.formatter.ts
+++ b/src/languages/redshift/redshift.formatter.ts
@@ -182,5 +182,6 @@ export const redshift: DialectOptions = {
     alwaysDenseOperators: ['::'],
     onelineClauses: [...standardOnelineClauses, ...tabularOnelineClauses],
     tabularOnelineClauses,
+    operatorsCombine: true,
   },
 };
diff --git a/test/mysql.test.ts b/test/mysql.test.ts
index e6bcd37af9..c626de924e 100644
--- a/test/mysql.test.ts
+++ b/test/mysql.test.ts
@@ -114,4 +114,12 @@ describe('MySqlFormatter', () => {
       DROP DEFAULT;
     `);
   });
+
+  it('does not space a sign after an operator in dense mode', () => {
+    expect(format('SELECT 5 % -2, 5 & -2', { denseOperators: true })).toBe(dedent`
+      SELECT
+        5%-2,
+        5&-2
+    `);
+  });
 });
diff --git a/test/postgresql.test.ts b/test/postgresql.test.ts
index 4542d364a2..58a9e9ac49 100644
--- a/test/postgresql.test.ts
+++ b/test/postgresql.test.ts
@@ -234,6 +234,39 @@ describe('PostgreSqlFormatter', () => {
     `);
   });
 
+  // Every character that lets PostgreSQL lex a run as a single operator can swallow a
+  // following sign, so each one is checked rather than a sample. The tenth such
+  // character, a backtick, is legal in CREATE OPERATOR but the lexer never yields it
+  // as an operator, so it is not reachable from here.
+  it.each(['~', '!~', '@>', '#', '%', '^', '&', '|', '?'])(
+    'keeps a space between the operator %s and a following sign with denseOperators',
+    operator => {
+      expect(format(`SELECT a ${operator} -1`, { denseOperators: true })).toBe(dedent`
+        SELECT
+          a${operator} -1
+      `);
+    }
+  );
+
+  it('keeps a space between an operator and a following sign with denseOperators', () => {
+    expect(format('SELECT 5 % -2, 2 ^ -2, 8 # -1', { denseOperators: true })).toBe(dedent`
+      SELECT
+        5% -2,
+        2^ -2,
+        8# -1
+    `);
+    expect(format(`SELECT '[1,2]'::jsonb @> -1`, { denseOperators: true })).toBe(dedent`
+      SELECT
+        '[1,2]'::jsonb@> -1
+    `);
+    expect(format(`SELECT data ? -1 FROM t`, { denseOperators: true })).toBe(dedent`
+      SELECT
+        data? -1
+      FROM
+        t
+    `);
+  });
+
   // Issue #813
   it('supports OR REPLACE in CREATE FUNCTION', () => {
     expect(format(`CREATE OR REPLACE FUNCTION foo ();`)).toBe(dedent`