Visiting wing DTH van der Merwe scored two tries and flanker Chris Fusaro also went over and while Ospreys lock Ian Evans crossed to threaten a comeback, the champions could not recover from their 15-0 deficit at half-time.
Next week Ospreys will face the Scarlets who have enjoyed an excellent start under Simon Easterby - and Jones is only too aware major improvements must be made.
"It's becoming a habit, these bad nights at the office and I think we left it too late again," said Jones.
"We weren't at it in the first half but we were much better in the second, got a try and we were pretty much camped in their half.
"There were a lot of handling and unforced errors last week and it will be interesting to see what the numbers are like from this game.
"Add that to a bit of lacklustre rucks and breakdowns and it was a bad night at the office.
"If you look at the way the Scarlets have gone, we're poles apart. It's the two extremes, the two opposite ends of the spectrum and we have to improve a lot if we want to beat them next week."
The only negative for the Warriors was that scrum-half Chris Cusiter could be facing an extended spell on the sidelines after he was helped off while clutching his shoulder during the match.
"The shoulder injury will be subject to assessment and we should have a clearer picture by next midweek," said a Glasgow Warriors spokesman.
Capped 55 times for Scotland, Cusiter joins a trio of Glasgow players recovering from injury.
Rob Harley, Ed Kalman and Pat MacArthur are expected to miss two months or longer with knee, back and foot problems, respectively.
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