Wasps director of rugby Dai Young says a top-four Premiership finish would exceed the club's expectations for this season.
The Coventry-based side have an 11-point cushion to fifth-placed Northampton following their 28-6 win over Saints on Sunday.
With three games to go, Young knows a play-off place is all but theirs.
"We've got a bit of breathing space. One win will probably cement ourselves in there," Young said.
The European Champions Cup quarter-finalists have won 10 of their last 11 Premiership matches to put themselves in pole position for the end-of-season action.
"We'd have to have a disaster not to pick up any more points with three games left, so it's in our hands which is a really pleasing position to be in," Young told BBC Coventry and Warwickshire.
"Top six has been our goal. Top four is more than we expected but we're certainly in there now and we'll give it our best shot."
Top four becomes top two?
Wasps face two trips to Exeter over the next four weeks that will go a long way towards defining their campaign.
After Saturday's last-eight Champions Cup tie, Wasps take on the Chiefs again in the Premiership on Sunday 1 May when a potential top-two spot, and a home draw in the play-off semi-finals, could be at stake.
"There's only two points between ourselves and Exeter and we've got to play them," Young said.
"We have to go to Worcester before then which is always tough, but you've got to win those if you want to be in the top four and certainly the top two.
"Then it's winner-takes-all against Exeter in terms of second and third before we finish at London Irish - we need to keep this momentum."