While Millwall are also two games without success, victory in East London on Saturday afternoon will take the Lions level on points with their opponents.
Despite losing four of their last five games in the Championship, Bristol City still find themselves just three points adrift of the playoffs.
However, Lee Johnson will be the first to admit that thinking about a top-six place is unnecessary until his side can get another win on the board, with the Robins now just three points above 11th-placed Cardiff.
Bristol have not been the same team since letting slip an early lead against Birmingham City on February 7, only getting the better of Derby County having survived a late comeback from the Rams.
Johnson and his players now face three fixtures against opponents who they will consider as rivals in the race for promotion, making it imperative that they do not add more defeats to their recent disappointing record.
With less margin for error, Johnson will hope that competing in high-stakes games can be a blessing in disguise as his team desperately searches for the catalyst required to hand them a boost heading into the closing two months of the season.
From Millwall's perspective, they may view this encounter as their most important of the campaign, sensing an opportunity to gain the upper hand on one of their nearest rivals.
Success over Bristol could be enough to take the Lions as high as seventh place, within touching distance of reinstating themselves as the dark horses for a playoff spot.
Although Gary Rowett must address a run of just one win from seven Championship fixtures, the fact that his team are continuing to look strong in defence provides him with the reason to remain optimistic.
Just four goals have been conceded in half-a-dozen games, putting the onus on the team's attacking players to rediscover their touch in the final third.
Millwall Championship form: DLDWLD
Bristol City Championship form: WLWLLL
Barring any late fitness issues, the rest of the team could remain the same after the goalless draw against Birmingham City.
As for Bristol, Johnson must decide whether to change formation after only using a back three for the first half of the defeat at Huddersfield.
With Millwall adopting a similar strategy, Johnson may give the tactics another outing, with Ashley Williams in contention to come back into the team.
Millwall possible starting lineup:
Bialkowski; Hutchinson, Pearce, Cooper; Romeo, Woods, Molumby, M.Wallace; J.Wallace, Bradshaw, Bennett
Bristol City possible starting lineup:
Bentley; Kalas, Williams, Baker; Hunt, Paterson, Nagy, Henriksen, Dasilva; Weimann, Diedhiou
We say: Millwall 2-1 Bristol City
Bristol are difficult to back against anyone right now, never mind in a tough trip to Millwall. While it may prove to be a close contest, the home side should have enough to edge out the Robins, potentially via a late goal.