It leaves them in 14th spot, but that is just seven points off sixth place with seven games remaining this term.
"There's a lot of teams between us and that position but you win all the games and it gives you a chance," James told BBC Radio Bristol.
The club's recent form is in stark contrast to the opening months of the campaign when City were in disarray
after the departure of manager Steve Coppell.
Coppell had signed James but left after two games and City won just one of their opening 12 matches of the campaign, claiming six points from a possible 33 in the league.
James, who has played in every league game, puts the turnaround down to the self belief manager Keith Millen has helped imbue in the side and the recent goal-getting of Nicky Maynard, who scored his fifth goal in seven games against Doncaster.
"There was a high expectation that we were going to be one of the play-off sides and we didn't deliver," said the 40-year-old.
"We then went on a very good run and then we had another blip. But that blip wasn't so long and we've got back into the run of things.
In most of the games in the last two months we've had so much control and looked like a side capable of winning games.
Keeper David James
"The side's capable, it's more than capable, and there's a little bit more, if not a lot more, self belief and the addition of Nicky, because of his quality, helps us out.
"In most of the games in the last two months we've had so much control and looked like a side capable of winning games.
"The work's been done on the training field, the sort of things you expect to be done are being done and that has added up to a lot more self belief in the team."
James credited the change in fortune against Doncaster after a "sticky" first half to Millen's half-time team talk.
"They got a bit of a rollicking," revealed Millen. "It wasn't good enough. It wasn't up to the standards we've set ourselves.
"I felt with a bit more belief we'd be on the front foot more and cause them a lot more problems and in the second half we were excellent. We were the dominant side."
Next up for Millen's men is a trip to Barnsley, one of four teams they will face between now and the end of the season who are below them in the table.
And with an eye on the future the manager has signed up five youngsters to City's books.
Goalkeeper Lewis Carey, defender Henry Muggeridge, midfielders Joe Bryan and Bobby Reid and forward Aaron Holloway have all come through the club's academy.
Bryan and Reid have agreed two-year deals, while Carey, Muggeridge and Holloway have each signed for a year.
Striker Scott Wilson and utility player Tom Andrews are set to leave Ashton Gate in the summer.
Source: BBC Sport
Source: BBC Sport