Glasgow head coach Danny Wilson set his sights on doing the double over Exeter after returning to action with an emphatic victory against Ospreys.
Warriors bounced back from their Covid outbreak, which forced the postponement of two games against Edinburgh, by beating their Welsh visitors 38-19 in the United Rugby Championship.
Two tries from Sione Tuopulotu and one each from Cole Forbes, Josh McKay and the fit-again Fraser Brown earned the bonus point and saw Glasgow finally follow up their Heineken Champions Cup win over Exeter on December 18.
Now Wilson wants his side to challenge themselves when they face the Chiefs in Devon on Saturday.
“We said that to go on to that next level, we need to be critical of these types of performance,” Wilson said.
“We don’t want to just sit back and pat ourselves on the back, we want to analyse what we need to do to be better and identify what we need to do to go and consistently challenge the top teams in Europe.
“That’s what we want to develop into, and it’s a journey that we’ll take step by step. At the moment, though, we’ve taken some big steps forward and there’s more to come.
“We don’t want to go down to Exeter and let our win here last month look like a one-off. We want to go down there and show we can back that performance up away from home, and by getting a good away win.”