Steve Borthwick's men visit Glasgow on Friday night, holding a clear lead at the Pool Five summit after amassing 14 points from three games.
The last time Bath won their opening three European Cup matches, in 1997/98, they went on to be crowned European champions.
Victory over Glasgow, allied with Bourgoin beating Leinster in France on Saturday, would leave Bath requiring just one more win for a place in the knockout stages.
Acting Bath coach Michael Foley, though, is taking nothing for granted after Glasgow scared the living daylights out of his team last weekend before wing Salesi Finau's late try secured a 31-26 home triumph.
"Glasgow will be confident," said Foley. "They are really well coached, they know their strengths and I like them as a side.
"The first match was entertaining as a spectacle, and I expect both sides to be better on Friday. I am sure it will be a great game of rugby.
"We moved the ball around a lot better last weekend, but we were our own worst enemy at times. We gave them opportunities and they took them, and we missed some routine shots at goal."
England lock Danny Grewcock, who was rested last Saturday, returns to the starting line-up, while former Newcastle wing Michael Stephenson features at full-back instead of Matt Perry and England front-row forwards Lee Mears and Matt Stevens are on replacement duty.