Edinburgh's 26-17 defeat by the Irish side was their best performance of a poor campaign that ends against Saracens at Vicarage Road on Sunday. Bradley has made just one change, with Fiji captain Netani Talei replacing David Denton.
Bradley said: "The boys showed real grit and determination against Munster and, while we earned the rewards late in the match, they showed elements of the controlled, territorial performance that we're looking to deliver in these big games."
He added: "Tactically I think they played some smart rugby and this reselection is another chance for them to up their game once more and tighten up the elements which follow, like increasing the accuracy and effectiveness of our set-piece and our composure in attack.
"Saracens have shown they are one of the top teams in Europe at controlling matches and keeping cool under pressure, so this will be a fantastic test for us as we seek to end this season's campaign with a win."
Scotland winger Lee Jones returns from a rib injury to take his place on the bench.