diff --git a/pkg/sql2pgroll/create_table.go b/pkg/sql2pgroll/create_table.go
index 01be619d..68a646be 100644
--- a/pkg/sql2pgroll/create_table.go
+++ b/pkg/sql2pgroll/create_table.go
@@ -4,7 +4,6 @@ package sql2pgroll
 
 import (
 	"fmt"
-	"slices"
 
 	pgq "github.com/xataio/pg_query_go/v6"
 
@@ -87,14 +86,6 @@ func convertColumnDef(tableName string, col *pgq.ColumnDef) (*migrations.Column,
 		return nil, fmt.Errorf("error deparsing column type: %w", err)
 	}
 
-	// Named inline constraints are not supported
-	anyNamed := slices.ContainsFunc(col.GetConstraints(), func(c *pgq.Node) bool {
-		return c.GetConstraint().GetConname() != ""
-	})
-	if anyNamed {
-		return nil, nil
-	}
-
 	// Convert column constraints
 	var notNull, pk, unique bool
 	var check *migrations.CheckConstraint
@@ -103,15 +94,31 @@ func convertColumnDef(tableName string, col *pgq.ColumnDef) (*migrations.Column,
 	for _, c := range col.GetConstraints() {
 		switch c.GetConstraint().GetContype() {
 		case pgq.ConstrType_CONSTR_NULL:
+			// named NULL constraints are not supported
+			if isConstraintNamed(c.GetConstraint()) {
+				return nil, nil
+			}
 			notNull = false
 		case pgq.ConstrType_CONSTR_NOTNULL:
+			// named NOT NULL constraints are not supported
+			if isConstraintNamed(c.GetConstraint()) {
+				return nil, nil
+			}
 			notNull = true
 		case pgq.ConstrType_CONSTR_UNIQUE:
+			// named UNIQUE constraints are not supported
+			if isConstraintNamed(c.GetConstraint()) {
+				return nil, nil
+			}
 			if !canConvertUniqueConstraint(c.GetConstraint()) {
 				return nil, nil
 			}
 			unique = true
 		case pgq.ConstrType_CONSTR_PRIMARY:
+			// named PRIMARY KEY constraints are not supported
+			if isConstraintNamed(c.GetConstraint()) {
+				return nil, nil
+			}
 			if !canConvertPrimaryKeyConstraint(c.GetConstraint()) {
 				return nil, nil
 			}
@@ -126,6 +133,10 @@ func convertColumnDef(tableName string, col *pgq.ColumnDef) (*migrations.Column,
 				return nil, nil
 			}
 		case pgq.ConstrType_CONSTR_DEFAULT:
+			// named DEFAULT constraints are not supported
+			if isConstraintNamed(c.GetConstraint()) {
+				return nil, nil
+			}
 			d, err := pgq.DeparseExpr(c.GetConstraint().GetRawExpr())
 			if err != nil {
 				return nil, fmt.Errorf("error deparsing default value: %w", err)
@@ -254,3 +265,15 @@ func convertInlineForeignKeyConstraint(tableName, columnName string, constraint
 		Table:    getQualifiedRelationName(constraint.GetPktable()),
 	}, nil
 }
+
+// isConstraintNamed returns true iff `constraint` has a name.
+// Column constraints defined inline in CREATE TABLE statements cab be either
+// named or unnamed, for example:
+// - CREATE TABLE t (a INT PRIMARY KEY);
+// - CREATE TABLE t (a INT CONSTRAINT my_pk PRIMARY KEY);
+// Likewise, table constraints can also be either named or unnamed, for example:
+// - CREATE TABLE foo(a int, CONSTRAINT foo_check CHECK (a > 0)),
+// - CREATE TABLE foo(a int, CHECK (a > 0)),
+func isConstraintNamed(constraint *pgq.Constraint) bool {
+	return constraint.GetConname() != ""
+}
diff --git a/pkg/sql2pgroll/create_table_test.go b/pkg/sql2pgroll/create_table_test.go
index f7235c3c..591fb50c 100644
--- a/pkg/sql2pgroll/create_table_test.go
+++ b/pkg/sql2pgroll/create_table_test.go
@@ -56,10 +56,22 @@ func TestConvertCreateTableStatements(t *testing.T) {
 			sql:        "CREATE TABLE foo(a int CHECK (a > 0))",
 			expectedOp: expect.CreateTableOp10,
 		},
+		{
+			sql:        "CREATE TABLE foo(a int CONSTRAINT my_check CHECK (a > 0))",
+			expectedOp: expect.CreateTableOp18,
+		},
 		{
 			sql:        "CREATE TABLE foo(a timestamptz DEFAULT now())",
 			expectedOp: expect.CreateTableOp11,
 		},
+		{
+			sql:        "CREATE TABLE foo(a int CONSTRAINT my_fk REFERENCES bar(b))",
+			expectedOp: expect.CreateTableOp19,
+		},
+		{
+			sql:        "CREATE TABLE foo(a int REFERENCES bar(b))",
+			expectedOp: expect.CreateTableOp12,
+		},
 		{
 			sql:        "CREATE TABLE foo(a int REFERENCES bar(b) NOT DEFERRABLE)",
 			expectedOp: expect.CreateTableOp12,
@@ -227,14 +239,13 @@ func TestUnconvertableCreateTableStatements(t *testing.T) {
 		"CREATE TABLE foo(a int REFERENCES bar (b) ON UPDATE SET DEFAULT)",
 		"CREATE TABLE foo(a int REFERENCES bar (b) MATCH FULL)",
 
-		// Named inline constraints are not supported
-		"CREATE TABLE foo(a int CONSTRAINT foo_check CHECK (a > 0))",
-		"CREATE TABLE foo(a int CONSTRAINT foo_unique UNIQUE)",
-		"CREATE TABLE foo(a int CONSTRAINT foo_pk PRIMARY KEY)",
-		"CREATE TABLE foo(a int CONSTRAINT foo_fk REFERENCES bar(b))",
+		// Named inline constraints are not supported for DEFAULT, NULL, NOT NULL,
+		// UNIQUE or PRIMARY KEY constraints
 		"CREATE TABLE foo(a int CONSTRAINT foo_default DEFAULT 0)",
 		"CREATE TABLE foo(a int CONSTRAINT foo_null NULL)",
 		"CREATE TABLE foo(a int CONSTRAINT foo_notnull NOT NULL)",
+		"CREATE TABLE foo(a int CONSTRAINT foo_unique UNIQUE)",
+		"CREATE TABLE foo(a int CONSTRAINT foo_pk PRIMARY KEY)",
 
 		// Generated columns are not supported
 		"CREATE TABLE foo(a int GENERATED ALWAYS AS (1) STORED)",
diff --git a/pkg/sql2pgroll/expect/create_table.go b/pkg/sql2pgroll/expect/create_table.go
index 93c68ca6..b46adaa5 100644
--- a/pkg/sql2pgroll/expect/create_table.go
+++ b/pkg/sql2pgroll/expect/create_table.go
@@ -225,3 +225,35 @@ var CreateTableOp17 = &migrations.OpCreateTable{
 		},
 	},
 }
+
+var CreateTableOp18 = &migrations.OpCreateTable{
+	Name: "foo",
+	Columns: []migrations.Column{
+		{
+			Name:     "a",
+			Type:     "int",
+			Nullable: true,
+			Check: &migrations.CheckConstraint{
+				Name:       "my_check",
+				Constraint: "a > 0",
+			},
+		},
+	},
+}
+
+var CreateTableOp19 = &migrations.OpCreateTable{
+	Name: "foo",
+	Columns: []migrations.Column{
+		{
+			Name:     "a",
+			Type:     "int",
+			Nullable: true,
+			References: &migrations.ForeignKeyReference{
+				Name:     "my_fk",
+				Table:    "bar",
+				Column:   "b",
+				OnDelete: migrations.ForeignKeyReferenceOnDeleteNOACTION,
+			},
+		},
+	},
+}