Both goals came during a first half in which the Saints registered 14 shots and Fulham failed to muster a single attempt.
Speaking after the match, an underwhelmed Jol suggested that his side were so inferior that they should be pleased to have lost by just a two-goal margin.
He told Sky Sports News: "The only good thing is that we kept it to 2-0 because after half time it could've been four or five.
He added: "It's very awkward to say, but maybe, if you look back at the first half and then the result, we should be happy to finish 2-0."
The defeat at St Mary's leaves Fulham 14th in the Premier League table.