Exeter's victory over Castres sets up a last-round blockbuster match against Munster in the final round of the Champions Cup at Thomond Park.
Baxter's men kept alive their quarter-final hopes with a 34-12 bonus-point victory over Castres at Sandy Park, but the Gallagher Premiership leaders still face a Herculean task to progress. And should they hold on and win the game - it will be victor take all in Limerick next weekend. A win for Exeter today will put them within four points of the Irish province, and if they win in Thomond Park (and stop Munster from getting a losing BP, or get a BP of their own) they will top the group, despite Munster's massive points difference. If the home side win a bonus point, Exeter have to follow suit.
"When we're playing a relatively high-tempo multi-phase game it doesn't really matter what number he's got on his back".
Exeter boss Rob Baxter added: "We've done the most important thing, we've given ourselves a reason to go to Munster and play what is close to a knockout game".
"It was nearly evident they had a real game-plan to go after certain people within the Gloucester team".
"We have to decide that they are going to go there and stand up and not back down, physically or emotionally".
Exeter failed to win any of their opening three games and would become the first side to qualify for the knock-out stages with that record should they overcome Munster by the required margins.
"That was Jack Nowell not 100% fit, which was quite nice to see, so hopefully he'll shake that off and a bit more game time will sharpen him up". "It's all on next week now, I know the boys will be buzzing from tomorrow to get into it".
In making it a flawless five out of five in Pool 3 by beating Lyon 28-10, the two-time champions set-up a winner-takes-all clash with second-placed Glasgow Warriors in the battle for top spot and a potential home draw in the knock-out stages.