The two sides met three weeks ago, also at the Rec, in the league, with the hosts coming away 42-26 winners, while Bath also won 55-31 in October in the reverse fixture at Kingsholm.
The Cherry and Whites were just two points off Bath at half-time in their most recent meeting on 23 March before they pulled away with two scores after the break and contained Gloucester to zero points during the second 40 minutes.
“They’re very well organised so it’s a massive challenge but we played them a couple of weeks ago,” Skivington added.
“There’s some areas we know we weren’t quite good enough and a couple of areas we let them in. Tactically we know we can be better and we can put in a better performance than we did.”
Gloucester will have Wales fly-half Gareth Anscombe back in contention for selection for Sunday for the first time since before the Six Nations, however remain without his international team-mate, centre Max Llewellyn, who is still recovering from a hamstring tear.
Lock Matias Alemanno is also facing a race to return from a shoulder injury before the end of the season and remains “nowhere near” coming back into the team, said Skivington.