Peter Houston's side put in a mighty effort in their 3-1 SPL home win over Aberdeen on Monday night to climb into fifth place in the table and have to recover quickly for the visit of bottom side Accies, who are looking for their first SPL win since beating Motherwell in October.
Taylor told Press Association Sport: "I'm sure United will be tired. They will have used up a lot of energy. It was a fantastic result against a good Aberdeen side, they showed that they are playing with confidence and scoring three goals against Aberdeen is good. So it's going to be a hard game for us."
He added: "We have to keep the tempo up and question how tired they are and how much the game the other night took out of them. We have a pattern of play we want to use against them and hopefully if we do that we will get the right result."
Accies trail second-bottom St Mirren by seven points and travel to Tannadice on the back of a routine 2-0 defeat by Celtic at Parkhead.
However, Taylor remains upbeat about the prospect of avoiding the drop.
"We have always been positive, we are still positive and we are confident that we will win enough games to be safe," he said.
"We are in the right frame of mind to go and win games. I think we just lacked a little bit of luck before Christmas and just after it but that luck will turn when you work hard.
"We were reasonably happy with the way we played at Parkhead on Saturday. The first goal was a fantastic strike, a bit of quality from Kris Commons and you have to accept that.
"The second goal was a little bit disappointing, it was an individual mistake but that can be rectified. We are all looking forward to the United game and we are looking to get back on track."