diff --git a/enginetest/queries/join_queries.go b/enginetest/queries/join_queries.go
index f08261f3ec..87b4d845e0 100644
--- a/enginetest/queries/join_queries.go
+++ b/enginetest/queries/join_queries.go
@@ -1342,6 +1342,50 @@ var JoinScriptTests = []ScriptTest{
 			},
 		},
 	},
+	{
+		// https://github.com/dolthub/dolt/issues/10304
+		Name: "3-way join with 1 primary key table, 2 keyless tables, and join filter on keyless tables",
+		SetUpScript: []string{
+			"CREATE TABLE t0(c0 VARCHAR(500), c1 INT);",
+			"CREATE TABLE t6(t6c0 VARCHAR(500), t6c1 INT, PRIMARY KEY(t6c0));",
+			"CREATE VIEW v0(c0) AS SELECT t0.c1 FROM t0;",
+			"create table t1(c0 int)",
+			"INSERT INTO t6(t6c0) VALUES (3);",
+			"INSERT INTO t6(t6c0, t6c1) VALUES (2, '-1'), ('', '1');",
+			"INSERT INTO t6(t6c0, t6c1) VALUES (true, 0);",
+			"INSERT INTO t0(c0, c1) VALUES (-1, false);",
+			"INSERT INTO t0(c1) VALUES (-7);",
+			"insert into t1(c0) values (-7),(0)",
+		},
+		Assertions: []ScriptTestAssertion{
+			{
+				Query: "SELECT * FROM t6, t1 INNER JOIN t0 ON ((t1.c0)<=>(t0.c1));",
+				Expected: []sql.Row{
+					{"", 1, -7, nil, -7},
+					{"", 1, 0, "-1", 0},
+					{"1", 0, -7, nil, -7},
+					{"1", 0, 0, "-1", 0},
+					{"2", -1, -7, nil, -7},
+					{"2", -1, 0, "-1", 0},
+					{"3", nil, -7, nil, -7},
+					{"3", nil, 0, "-1", 0},
+				},
+			},
+			{
+				Query: "SELECT * FROM t6, v0 INNER JOIN t0 ON ((v0.c0)<=>(t0.c1));",
+				Expected: []sql.Row{
+					{"", 1, -7, nil, -7},
+					{"", 1, 0, "-1", 0},
+					{"1", 0, -7, nil, -7},
+					{"1", 0, 0, "-1", 0},
+					{"2", -1, -7, nil, -7},
+					{"2", -1, 0, "-1", 0},
+					{"3", nil, -7, nil, -7},
+					{"3", nil, 0, "-1", 0},
+				},
+			},
+		},
+	},
 }
 
 var LateralJoinScriptTests = []ScriptTest{
diff --git a/sql/memo/join_order_builder.go b/sql/memo/join_order_builder.go
index 34726ef4a5..7d6d835f80 100644
--- a/sql/memo/join_order_builder.go
+++ b/sql/memo/join_order_builder.go
@@ -254,7 +254,7 @@ func (j *joinOrderBuilder) buildSingleLookupPlan() bool {
 	fds := j.m.root.RelProps.FuncDeps()
 	fdKey, hasKey := fds.StrictKey()
 	// fdKey is a set of columns which constrain all other columns in the join.
-	// If a chain of lookups exist, then the columns in fdKey must be in the innermost join.
+	// If a chain of lookups exists, then the columns in fdKey must be in the innermost join.
 	if !hasKey {
 		return false
 	}
@@ -324,22 +324,14 @@ func (j *joinOrderBuilder) buildSingleLookupPlan() bool {
 			}
 		}
 
-		if len(joinCandidates) > 1 {
-			// We end up here if there are multiple possible choices for the next join.
-			// This could happen if there are redundant rules. For now, we bail out if this happens.
-			return false
-		}
-
-		if len(joinCandidates) == 0 {
-			// There are still tables left to join, but no more filters that match the already joined tables.
-			// This can happen, for instance, if the remaining table is a single-row table that was cross-joined.
-			// It's probably safe to just join the remaining tables here.
-			remainingVertexes := j.allVertices().difference(currentlyJoinedVertexes)
-			for idx, ok := remainingVertexes.next(0); ok; idx, ok = remainingVertexes.next(idx + 1) {
-				nextVertex := newBitSet(idx)
-				j.addJoin(plan.JoinTypeCross, currentlyJoinedVertexes, nextVertex, nil, nil, false)
-				currentlyJoinedVertexes = currentlyJoinedVertexes.union(nextVertex)
-			}
+		if len(joinCandidates) != 1 {
+			// For now, we bail out if there are no or multiple possible choices for the next join.
+			// There are no possible choices for the next join when the filters are not applicable to the table
+			// containing the functional dependency key. Suppose we have a query like
+			// `select from A, B, inner join C on B.c0 <=> C.c0` where table A has a primary key and tables B and C are
+			// keyless; in this case, keyColumn would match table A's primary key, currentlyJoinedTables would only
+			// contain table A, and the join filter for tables B and C would not apply.
+			// There are multiple possible choices for the next join if there are redundant rules.
 			return false
 		}