Following Manchester City's loss to Liverpool earlier on Sunday, Chelsea's title chances are in its own hands with Sunderland, the Reds, Norwich and Cardiff all to play
Demba Ba scored the only goal as the Blues battled to a 1-0 victory over 10-man Swansea City on Sunday, leaving them two points adrift of leader Liverpool, which was a 3-2 winner over Manchester City earlier in the day.
Chelsea is set to visit Anfield in two weeks' time, and Holland feels the defeat at Crystal Palace last month has left his team needing a perfect run-in to stand a chance of being crowned champion.
"It looks like being an exciting conclusion to the season for everybody," he told reporters. "I think we've probably got to win all of our games one way or another. That's the likelihood.
"We've been facing that task now for probably a good couple of weeks, certainly on the back of our result at Crystal Palace. I think any leeway we had was eliminated after that result."
And Holland confessed that the players had been aware of the result in the day's early kickoff.
"No matter how much you try and hide it and take the players' minds away from it, in this world of technology that we live in now, there's always a way of somebody finding out at some point," he continued.
"So we were aware as the afternoon progressed. It is something that the players have to handle and is normal in this kind of situation."
Swansea head coach Garry Monk questioned the dismissal of Chico Flores in the first half, alleging that Chelsea's players and coaching staff tried to exert some influence over referee Phil Dowd, but Holland believes the official made the correct decision.
"In my opinion, the two yellow card decisions were crystal clear," he stressed. "I've seen them both back and I think the referee was correct on both counts.
"The referee made the decision and he made the decision correctly."