diff --git a/flow/connectors/postgres/client.go b/flow/connectors/postgres/client.go
index f14f8045b..816eecfb2 100644
--- a/flow/connectors/postgres/client.go
+++ b/flow/connectors/postgres/client.go
@@ -126,19 +126,15 @@ func (c *PostgresConnector) getPrimaryKeyColumns(schemaTable *utils.SchemaTable)
 		return nil, fmt.Errorf("error getting primary key column for table %s: %w", schemaTable, err)
 	}
 	defer rows.Close()
-	// 0 rows returned, table has no primary keys
-	if !rows.Next() {
-		return nil, fmt.Errorf("table %s has no primary keys", schemaTable)
-	}
 	for {
+		if !rows.Next() {
+			break
+		}
 		err = rows.Scan(&pkCol)
 		if err != nil {
 			return nil, fmt.Errorf("error scanning primary key column for table %s: %w", schemaTable, err)
 		}
 		pkCols = append(pkCols, pkCol)
-		if !rows.Next() {
-			break
-		}
 	}
 
 	return pkCols, nil
@@ -314,13 +310,15 @@ func generateCreateTableSQLForNormalizedTable(sourceTableIdentifier string,
 	}
 
 	// add composite primary key to the table
-	primaryKeyColsQuoted := make([]string, 0)
-	for _, primaryKeyCol := range sourceTableSchema.PrimaryKeyColumns {
-		primaryKeyColsQuoted = append(primaryKeyColsQuoted,
-			fmt.Sprintf(`"%s"`, primaryKeyCol))
+	if len(sourceTableSchema.PrimaryKeyColumns) > 0 {
+		primaryKeyColsQuoted := make([]string, 0, len(sourceTableSchema.PrimaryKeyColumns))
+		for _, primaryKeyCol := range sourceTableSchema.PrimaryKeyColumns {
+			primaryKeyColsQuoted = append(primaryKeyColsQuoted,
+				fmt.Sprintf(`"%s"`, primaryKeyCol))
+		}
+		createTableSQLArray = append(createTableSQLArray, fmt.Sprintf("PRIMARY KEY(%s),",
+			strings.TrimSuffix(strings.Join(primaryKeyColsQuoted, ","), ",")))
 	}
-	createTableSQLArray = append(createTableSQLArray, fmt.Sprintf("PRIMARY KEY(%s),",
-		strings.TrimSuffix(strings.Join(primaryKeyColsQuoted, ","), ",")))
 
 	return fmt.Sprintf(createNormalizedTableSQL, sourceTableIdentifier,
 		strings.TrimSuffix(strings.Join(createTableSQLArray, ""), ","))
diff --git a/flow/connectors/postgres/postgres.go b/flow/connectors/postgres/postgres.go
index 4f6a4427f..ccabcfdb8 100644
--- a/flow/connectors/postgres/postgres.go
+++ b/flow/connectors/postgres/postgres.go
@@ -573,6 +573,11 @@ func (c *PostgresConnector) getTableSchemaForTable(
 		return nil, fmt.Errorf("error getting replica identity for table %s: %w", schemaTable, replErr)
 	}
 
+	pKeyCols, err := c.getPrimaryKeyColumns(schemaTable)
+	if err != nil {
+		return nil, fmt.Errorf("error getting primary key column for table %s: %w", schemaTable, err)
+	}
+
 	// Get the column names and types
 	rows, err := c.pool.Query(c.ctx,
 		fmt.Sprintf(`SELECT * FROM %s LIMIT 0`, schemaTable.String()),
@@ -582,13 +587,6 @@ func (c *PostgresConnector) getTableSchemaForTable(
 	}
 	defer rows.Close()
 
-	pKeyCols, err := c.getPrimaryKeyColumns(schemaTable)
-	if err != nil {
-		if !isFullReplica {
-			return nil, fmt.Errorf("error getting primary key column for table %s: %w", schemaTable, err)
-		}
-	}
-
 	res := &protos.TableSchema{
 		TableIdentifier:       tableName,
 		Columns:               make(map[string]string),
@@ -744,6 +742,21 @@ func (c *PostgresConnector) EnsurePullability(req *protos.EnsurePullabilityBatch
 			return nil, err
 		}
 
+		isFullReplica, replErr := c.isTableFullReplica(schemaTable)
+		if replErr != nil {
+			return nil, fmt.Errorf("error getting replica identity for table %s: %w", schemaTable, replErr)
+		}
+
+		pKeyCols, err := c.getPrimaryKeyColumns(schemaTable)
+		if err != nil {
+			return nil, fmt.Errorf("error getting primary key column for table %s: %w", schemaTable, err)
+		}
+
+		// we only allow no primary key if the table has REPLICA IDENTITY FULL
+		if len(pKeyCols) == 0 && !isFullReplica {
+			return nil, fmt.Errorf("table %s has no primary keys and does not have REPLICA IDENTITY FULL", schemaTable)
+		}
+
 		tableIdentifierMapping[tableName] = &protos.TableIdentifier{
 			TableIdentifier: &protos.TableIdentifier_PostgresTableIdentifier{
 				PostgresTableIdentifier: &protos.PostgresTableIdentifier{
diff --git a/flow/connectors/snowflake/snowflake.go b/flow/connectors/snowflake/snowflake.go
index f04b9be38..4cd48aed0 100644
--- a/flow/connectors/snowflake/snowflake.go
+++ b/flow/connectors/snowflake/snowflake.go
@@ -783,13 +783,15 @@ func generateCreateTableSQLForNormalizedTable(
 	}
 
 	// add composite primary key to the table
-	primaryKeyColsUpperQuoted := make([]string, 0)
-	for _, primaryKeyCol := range sourceTableSchema.PrimaryKeyColumns {
-		primaryKeyColsUpperQuoted = append(primaryKeyColsUpperQuoted,
-			fmt.Sprintf(`"%s"`, strings.ToUpper(primaryKeyCol)))
+	if len(sourceTableSchema.PrimaryKeyColumns) > 0 {
+		primaryKeyColsUpperQuoted := make([]string, 0, len(sourceTableSchema.PrimaryKeyColumns))
+		for _, primaryKeyCol := range sourceTableSchema.PrimaryKeyColumns {
+			primaryKeyColsUpperQuoted = append(primaryKeyColsUpperQuoted,
+				fmt.Sprintf(`"%s"`, strings.ToUpper(primaryKeyCol)))
+		}
+		createTableSQLArray = append(createTableSQLArray, fmt.Sprintf("PRIMARY KEY(%s),",
+			strings.TrimSuffix(strings.Join(primaryKeyColsUpperQuoted, ","), ",")))
 	}
-	createTableSQLArray = append(createTableSQLArray, fmt.Sprintf("PRIMARY KEY(%s),",
-		strings.TrimSuffix(strings.Join(primaryKeyColsUpperQuoted, ","), ",")))
 
 	return fmt.Sprintf(createNormalizedTableSQL, sourceTableIdentifier,
 		strings.TrimSuffix(strings.Join(createTableSQLArray, ""), ","))