Bridcutt, a key player as the Seagulls reached the play-offs last season, had been sidelined since early August with a hernia problem but returned as a second-half substitute in Saturday's 3-0 win over Blackburn Rovers.
However, Garcia also revealed the injury-hit Seagulls were without fellow midfielder Keith Andrews due to a calf knock.
"I was very happy to have Liam back. It was always our intention to try and get some minutes under his belt and he played well," said the Spaniard.
"We now want him to be fit from now until the end of the season.
"Keith Andrews was carrying a calf problem after the Doncaster game and while we hoped he would recover, he was still feeling pain and was not able to complete training on Friday, so he was not available for selection."