Bolton goalkeeper Adam Bogdan accepts his side must improve their away form to secure a Championship play-off place.
The Whites have recorded seven straight wins at the Reebok to move within striking distance of the top six.
But Dougie Freedman's side have collected just three wins on the road all season and Bogdan says time is running out to put it right.
"The home form is brilliant and now we just have to make sure that we do the same away," he told The Bolton News.
"It's always a bit harder when you don't have the full crowd behind you, but I honestly don't know what the full reason is that we are not getting results away.
"I do know it needs to change if we are going to get to the play-offs. We are two points away and there's a big opportunity on Saturday to close the gap even more. We just have to concentrate on our defending like we did against Wolves."
The Grecians slipped to eighth place in the League Two standings after their fourth consecutive defeat and Bradford, who leapfrogged them, still have one game in hand.
But Tisdale is remaining positive, despite seeing his side outclassed by the Millers at the New York Stadium, and believes City did well to recover after trailing 3-0 after just half-an-hour.
"The first goal was an error in midfield and after that we got rolled over," he said.
"We could have lost by five or six, but we didn't. We certainly played with some strength of mind and I have to say I think they did okay. It could be a turning point.
"We might be down, but we are not down and out. Maybe the opportunity has gone, but we will just have to see what happens."
Nahki Wells took his tally to 21 goals for the season with a brace. Andrew Davies and Garry Thompson were also on the scoresheet for the Bantams, while Tom Hitchcock grabbed a consolation for the Pirates.
The result ended Rovers' unbeaten run of five matches and Ward said: "Bradford were on the front foot from the outset and were very positive with their football.
"We made errors by giving the ball away and we got punished for them. Four individual mistakes led to Bradford's goals and when that happens you know it isn't going to be your night.
"I have no excuses for the players. The lads have got to learn from this quickly and improve.
"Bradford are very strong and were a better side than us on the night and they are going to take some stopping if they can continue that form.
"We've got to remember that three or four months ago we were staring down the barrel of relegation. We've been good enough to get ourselves out of trouble, but we have a lot of work to do to be as strong as Bradford."
