diff --git a/internal/sanitize/sanitize.go b/internal/sanitize/sanitize.go
index a7a94e93e..5eef456c3 100644
--- a/internal/sanitize/sanitize.go
+++ b/internal/sanitize/sanitize.go
@@ -18,6 +18,12 @@ type Query struct {
 	Parts []Part
 }
 
+// utf.DecodeRune returns the utf8.RuneError for errors. But that is actually rune U+FFFD -- the unicode replacement
+// character. utf8.RuneError is not an error if it is also width 3.
+//
+// https://github.com/jackc/pgx/issues/1380
+const replacementcharacterwidth = 3
+
 func (q *Query) Sanitize(args ...interface{}) (string, error) {
 	argUse := make([]bool, len(args))
 	buf := &bytes.Buffer{}
@@ -138,11 +144,13 @@ func rawState(l *sqlLexer) stateFn {
 				return multilineCommentState
 			}
 		case utf8.RuneError:
-			if l.pos-l.start > 0 {
-				l.parts = append(l.parts, l.src[l.start:l.pos])
-				l.start = l.pos
+			if width != replacementcharacterwidth {
+				if l.pos-l.start > 0 {
+					l.parts = append(l.parts, l.src[l.start:l.pos])
+					l.start = l.pos
+				}
+				return nil
 			}
-			return nil
 		}
 	}
 }
@@ -160,11 +168,13 @@ func singleQuoteState(l *sqlLexer) stateFn {
 			}
 			l.pos += width
 		case utf8.RuneError:
-			if l.pos-l.start > 0 {
-				l.parts = append(l.parts, l.src[l.start:l.pos])
-				l.start = l.pos
+			if width != replacementcharacterwidth {
+				if l.pos-l.start > 0 {
+					l.parts = append(l.parts, l.src[l.start:l.pos])
+					l.start = l.pos
+				}
+				return nil
 			}
-			return nil
 		}
 	}
 }
@@ -182,11 +192,13 @@ func doubleQuoteState(l *sqlLexer) stateFn {
 			}
 			l.pos += width
 		case utf8.RuneError:
-			if l.pos-l.start > 0 {
-				l.parts = append(l.parts, l.src[l.start:l.pos])
-				l.start = l.pos
+			if width != replacementcharacterwidth {
+				if l.pos-l.start > 0 {
+					l.parts = append(l.parts, l.src[l.start:l.pos])
+					l.start = l.pos
+				}
+				return nil
 			}
-			return nil
 		}
 	}
 }
@@ -228,11 +240,13 @@ func escapeStringState(l *sqlLexer) stateFn {
 			}
 			l.pos += width
 		case utf8.RuneError:
-			if l.pos-l.start > 0 {
-				l.parts = append(l.parts, l.src[l.start:l.pos])
-				l.start = l.pos
+			if width != replacementcharacterwidth {
+				if l.pos-l.start > 0 {
+					l.parts = append(l.parts, l.src[l.start:l.pos])
+					l.start = l.pos
+				}
+				return nil
 			}
-			return nil
 		}
 	}
 }
@@ -249,11 +263,13 @@ func oneLineCommentState(l *sqlLexer) stateFn {
 		case '\n', '\r':
 			return rawState
 		case utf8.RuneError:
-			if l.pos-l.start > 0 {
-				l.parts = append(l.parts, l.src[l.start:l.pos])
-				l.start = l.pos
+			if width != replacementcharacterwidth {
+				if l.pos-l.start > 0 {
+					l.parts = append(l.parts, l.src[l.start:l.pos])
+					l.start = l.pos
+				}
+				return nil
 			}
-			return nil
 		}
 	}
 }
@@ -283,11 +299,13 @@ func multilineCommentState(l *sqlLexer) stateFn {
 			l.nested--
 
 		case utf8.RuneError:
-			if l.pos-l.start > 0 {
-				l.parts = append(l.parts, l.src[l.start:l.pos])
-				l.start = l.pos
+			if width != replacementcharacterwidth {
+				if l.pos-l.start > 0 {
+					l.parts = append(l.parts, l.src[l.start:l.pos])
+					l.start = l.pos
+				}
+				return nil
 			}
-			return nil
 		}
 	}
 }
diff --git a/internal/sanitize/sanitize_test.go b/internal/sanitize/sanitize_test.go
index bbac84b02..1dc0f95fc 100644
--- a/internal/sanitize/sanitize_test.go
+++ b/internal/sanitize/sanitize_test.go
@@ -88,6 +88,16 @@ func TestNewQuery(t *testing.T) {
 			sql:      "select 42, -- \\nis a Deep Thought's favorite number\r$1",
 			expected: sanitize.Query{Parts: []sanitize.Part{"select 42, -- \\nis a Deep Thought's favorite number\r", 1}},
 		},
+		{
+			// https://github.com/jackc/pgx/issues/1380
+			sql:      "select 'hello w�rld'",
+			expected: sanitize.Query{Parts: []sanitize.Part{"select 'hello w�rld'"}},
+		},
+		{
+			// Unterminated quoted string
+			sql:      "select 'hello world",
+			expected: sanitize.Query{Parts: []sanitize.Part{"select 'hello world"}},
+		},
 	}
 
 	for i, tt := range successTests {