Huddersfield caretaker manager Mark Lillis will take charge for a second time when Crystal Palace visit the John Smith's Stadium on Wednesday night.
Academy manager Lillis, 53, and professional development coach Steve Eyre were installed as temporary bosses following the sacking of Simon Grayson last week and prepared the side for Saturday's 1-1 home draw with Leicester in the fourth round of the FA Cup.
Huddersfield chairman Dean Hoyle has said there has been no shortage of interest in the vacancy, but is in no rush to appoint the club's fourth manager in as many years.
Lillis, who made 242 appearances for Town between 1978 and 1985, said after seeing Leicester striker Chris Wood cancel out Lee Novak's second-half penalty: "I'm obviously disappointed we didn't get the win, but happy that we are still in the FA Cup and delighted with the way the lads went about things.
"Hats off to the fans as well because they responded to our efforts the way I knew they would.
"The players are frustrated and disappointed not to have won, but we gave one of the best teams in the Championship a game.
"I gave them some loving, because sometimes they need an arm around them and to be given some self-belief.
"But I also told them that we have a chairman who is putting his money where his mouth is and fans who are paying hard-earned cash to come and watch, and when that's the case, you have to give something back. That's the way I was brought up."
The Millers cancelled the 26-year-old's contract by mutual consent on Monday and he joined the Robins just hours later.
"We are delighted to have signed Jason - this was a no brainer," manager Mark Yates told the club's official website.
"We were fairly surprised when he was put our way but we are very happy to have signed him on a two-and-a-half-year contract.
"He is a leader, a winner and he will add something extra to our already talented midfield."
Taylor began his career at Oldham before a successful spell with Stockport.
He left Rotherham after four years and over 120 appearances and will be available for Cheltenham's clash with Torquay this weekend.
