Glasgow skipper Al Kellock insists the Warriors do not need to regret handing Exeter a late losing bonus point so long as they continue their recent run of success into the rest of their Heineken Cup campaign.
Gregor Townsend's men registered their first victory in this year's tournament by beating the Chiefs 20-16 at Scotstoun.
Second-half tries from Tim Swinson and Tyrone Homes - who dotted down his first try for the club - set up the win but Dave Ewers' late scrambled effort for the Aviva Premiership side means Exeter claim an extra point for losing by less than a converted try and now join Toulon at the top of Pool Two with six points.
Glasgow - who currently top the RaboDirect Pro12 with five wins out of five - sit level with Cardiff on five points but Kellock insists his team's late slip does not put them under pressure in the race to qualify for the quarter-finals.
He said: "It's a great win but we're disappointed to have slipped up at the end and hand them a bonus point. However, it doesn't have to come back and haunt us.
"It's about us and making sure we are in the fight. It's about coming out of the back-to-back games against Cardiff in a good position.
"The number one task for us was to get the win today. The fact they got the bonus point is a slight frustration but no more because it's still all about what we do."
Kellock admits the hosts had to be reminded of their game plan by Townsend at half-time as they went in 9-6 down amid increasingly wet conditions.
"It was tough out there because of the rain and that made it really difficult to play in. But I thought the way we controlled the game in the second half was outstanding.
"There was a reaffirmation of tactics at half-time. I'm sure there was a change but certainly we got out tactics spot on in the second half."
Townsend restored Fijian international Niko Matawalu to scrum-half following his recent spell on the wing and the 24-year-old did not let him down, putting in a fearsome display that also saw him set up Swinson's score with a breathtaking change of direction.
"He's great for us," said the Warriors boss.
"A lot of people will look at what he did in attack but I thought what he did in defence and his kicking was excellent.
"He's very strong around the fringes and the energy he puts into games - I saw him beat three or four players from one break and then have to go back for a kick - shows he has to be one of our fittest players. He gives us that get up and go."
Exeter head coach Rob Baxter admitted his side were undone by errors on their own part but insisted they are still in good shape to challenge reigning champions Toulon for the sole slot granting automatic entry to the last eight.
He said: "Glasgow just controlled the ball a lit bit better at a couple of crucial times. We made a couple of errors under some high kicks and there you go, in a tight game it can be decided in one or two moments.
"I'm very pleased that we fought back in the end when the momentum of the game had got away from us.
"So to fight back and get a losing bonus point which keeps us level top of the group is great and gives us all to play for.
"I've just told our guys to look at the bigger picture. We're in a group with the European champions and have just come away from home to the leaders of the RaboDirect and we're hanging in there at the top.
"The important thing for us is to bounce through and understand that this was a very valuable point for us."