diff --git a/ibis/backends/sql/__init__.py b/ibis/backends/sql/__init__.py
index 67b256afec728..c8a37941ff054 100644
--- a/ibis/backends/sql/__init__.py
+++ b/ibis/backends/sql/__init__.py
@@ -35,8 +35,11 @@ def dialect(self) -> sg.Dialect:
     @classmethod
     def has_operation(cls, operation: type[ops.Value]) -> bool:
         compiler = cls.compiler
+        if operation in compiler.extra_supported_ops:
+            return True
         method = getattr(compiler, f"visit_{operation.__name__}", None)
-        return method is not None and method not in (
+        return method not in (
+            None,
             compiler.visit_Undefined,
             compiler.visit_Unsupported,
         )
diff --git a/ibis/backends/sql/compiler.py b/ibis/backends/sql/compiler.py
index 8bb46ce21c895..a1642e3e50fa7 100644
--- a/ibis/backends/sql/compiler.py
+++ b/ibis/backends/sql/compiler.py
@@ -14,6 +14,7 @@
 from public import public
 
 import ibis.common.exceptions as com
+import ibis.common.patterns as pats
 import ibis.expr.datatypes as dt
 import ibis.expr.operations as ops
 from ibis.backends.sql.rewrites import (
@@ -175,6 +176,20 @@ class SQLGlotCompiler(abc.ABC):
     )
     """A sequence of rewrites to apply to the expression tree before compilation."""
 
+    extra_supported_ops: frozenset = frozenset(
+        (
+            ops.Project,
+            ops.Filter,
+            ops.Sort,
+            ops.WindowFunction,
+            ops.RowsWindowFrame,
+            ops.RangeWindowFrame,
+        )
+    )
+    """A frozenset of ops classes that are supported, but don't have explicit
+    `visit_*` methods (usually due to being handled by rewrite rules). Used by
+    `has_operation`"""
+
     no_limit_value: sge.Null | None = None
     """The value to use to indicate no limit."""
 
@@ -366,6 +381,15 @@ def impl(self, _, *, _name: str = target_name, **kw):
             if not hasattr(cls, name):
                 setattr(cls, name, cls.visit_Undefined)
 
+        # Expand extra_supported_ops with any rewrite rules
+        extra_supported_ops = set(cls.extra_supported_ops)
+        for rule in cls.rewrites:
+            if isinstance(rule, pats.Replace) and isinstance(
+                rule.matcher, pats.InstanceOf
+            ):
+                extra_supported_ops.add(rule.matcher.type)
+        cls.extra_supported_ops = frozenset(extra_supported_ops)
+
     @property
     @abc.abstractmethod
     def dialect(self) -> str:
diff --git a/ibis/backends/sqlite/tests/test_client.py b/ibis/backends/sqlite/tests/test_client.py
index 7e57bcb431454..5f32197c57ea1 100644
--- a/ibis/backends/sqlite/tests/test_client.py
+++ b/ibis/backends/sqlite/tests/test_client.py
@@ -8,6 +8,7 @@
 from pytest import param
 
 import ibis
+import ibis.expr.operations as ops
 from ibis.conftest import not_windows
 
 
@@ -75,3 +76,14 @@ def test_connect(url, ext, tmp_path):
     con = ibis.connect(url(path))
     one = ibis.literal(1)
     assert con.execute(one) == 1
+
+
+def test_has_operation(con):
+    # Handled by hardcoded rewrite
+    assert con.has_operation(ops.Project)
+    # Handled by base class rewrite
+    assert con.has_operation(ops.Capitalize)
+    # Handled by compiler-specific rewrite
+    assert con.has_operation(ops.Sample)
+    # Handled by visit_* method
+    assert con.has_operation(ops.Cast)