diff --git a/fuzz/fuzz_seeds/sqlite_2664_between_low_bound.sql b/fuzz/fuzz_seeds/sqlite_2664_between_low_bound.sql
new file mode 100644
index 0000000000..297aed4f95
--- /dev/null
+++ b/fuzz/fuzz_seeds/sqlite_2664_between_low_bound.sql
@@ -0,0 +1,2 @@
+SELECT a BETWEEN b > 1 AND c, a BETWEEN b LIKE 'x' AND c, a BETWEEN b IS NOT NULL AND c, a BETWEEN b NOTNULL AND c, a BETWEEN b BETWEEN 1 AND 2 AND c FROM t;
+SELECT 5 BETWEEN 1 AND NULL IS NULL, 5 BETWEEN 1 AND 10 = 1 FROM t
diff --git a/src/dialect/mod.rs b/src/dialect/mod.rs
index 02ac35fd45..836eab1d81 100644
--- a/src/dialect/mod.rs
+++ b/src/dialect/mod.rs
@@ -1152,6 +1152,11 @@ pub trait Dialect: Debug + Any {
         0
     }
 
+    /// Precedence used to stop parsing the low bound expression of a BETWEEN predicate.
+    fn between_low_bound_precedence(&self) -> u8 {
+        self.prec_value(Precedence::Between)
+    }
+
     /// Returns true if this dialect requires the `TABLE` keyword after `DESCRIBE`
     ///
     /// Defaults to false.
diff --git a/src/dialect/sqlite.rs b/src/dialect/sqlite.rs
index 8c9cc005e7..6a3d3edfa9 100644
--- a/src/dialect/sqlite.rs
+++ b/src/dialect/sqlite.rs
@@ -315,6 +315,11 @@ impl Dialect for SQLiteDialect {
                 | Keyword::WHERE
         )
     }
+
+    /// Comparison and postfix operators bind within the BETWEEN low bound in SQLite (<https://www.sqlite.org/lang_expr.html>).
+    fn between_low_bound_precedence(&self) -> u8 {
+        self.prec_value(Precedence::And)
+    }
 }
 
 /// SQLite permits signed and decimal numeric type modifiers.
diff --git a/src/parser/mod.rs b/src/parser/mod.rs
index eafe4d621e..5f7b3338fc 100644
--- a/src/parser/mod.rs
+++ b/src/parser/mod.rs
@@ -4614,9 +4614,7 @@ impl<'a> Parser<'a> {
 
     /// Parses `BETWEEN <low> AND <high>`, assuming the `BETWEEN` keyword was already consumed.
     pub fn parse_between(&mut self, expr: Expr, negated: bool) -> Result<Expr, ParserError> {
-        // Stop parsing subexpressions for <low> and <high> on tokens with
-        // precedence lower than that of `BETWEEN`, such as `AND`, `IS`, etc.
-        let low = self.parse_subexpr(self.dialect.prec_value(Precedence::Between))?;
+        let low = self.parse_subexpr(self.dialect.between_low_bound_precedence())?;
         self.expect_keyword_is(Keyword::AND)?;
         let high = self.parse_subexpr(self.dialect.prec_value(Precedence::Between))?;
         Ok(Expr::Between {
diff --git a/tests/sqlparser_sqlite.rs b/tests/sqlparser_sqlite.rs
index 7a7101b26d..6ba0dee451 100644
--- a/tests/sqlparser_sqlite.rs
+++ b/tests/sqlparser_sqlite.rs
@@ -984,6 +984,47 @@ fn test_drop_trigger() {
     }
 }
 
+#[test]
+fn parse_between_low_bound_precedence() {
+    match sqlite().verified_expr("a BETWEEN b > 1 AND c") {
+        Expr::Between { low, .. } => assert!(
+            matches!(
+                *low,
+                Expr::BinaryOp {
+                    op: BinaryOperator::Gt,
+                    ..
+                }
+            ),
+            "{low:?}"
+        ),
+        other => panic!("expected BETWEEN, got {other:?}"),
+    }
+    sqlite().verified_expr("a BETWEEN b LIKE 'x' AND c");
+    sqlite().verified_expr("a BETWEEN b IS NOT NULL AND c");
+    sqlite().expr_parses_to("a BETWEEN b NOTNULL AND c", "a BETWEEN b IS NOT NULL AND c");
+    sqlite().verified_expr("a BETWEEN b BETWEEN 1 AND 2 AND c");
+
+    // Operators after the high bound apply to the whole BETWEEN.
+    sqlite().verified_expr("5 BETWEEN 1 AND NULL IS NULL");
+    sqlite().verified_expr("5 BETWEEN 1 AND 10 = 1");
+
+    // The inner AND belongs to the bound expression, so the missing `)` is reported at FROM.
+    assert_eq!(
+        sqlite().parse_sql_statements("SELECT a BETWEEN (1 AND 2 FROM t"),
+        Err(ParserError::ParserError(
+            "Expected: ), found: FROM".to_string()
+        ))
+    );
+
+    assert_eq!(
+        TestedDialects::new(vec![Box::new(GenericDialect {})])
+            .parse_sql_statements("SELECT a BETWEEN b > 1 AND c FROM t"),
+        Err(ParserError::ParserError(
+            "Expected: AND, found: >".to_string()
+        ))
+    );
+}
+
 #[test]
 fn parse_pattern_operators_bind_at_like_precedence() {
     fn where_operator(sql: &str) -> BinaryOperator {
@@ -1517,7 +1558,6 @@ fn parse_on_conflict_target_predicate() {
         other => panic!("unexpected statement: {other:?}"),
     }
 }
-
 fn sqlite() -> TestedDialects {
     TestedDialects::new(vec![Box::new(SQLiteDialect {})])
 }