Woodburn has returned to Oxford after receiving treatment for a foot injury he sustained while on loan with the League One club.
"Woody's reporting to training and will stay with the team," he told the Oxford Mail.
"He wants to be on the coach and in the dressing room with the lads.
"I've read a lot of things about his mentality or attitude, but he's got one of the best in a young player I've seen.
"I've never had a loan player who is injured phone me up and ask to travel with the team and be part of the club.
"We all know the reason he's here is to play in Liverpool's first team again, but he's one of the best I've had that has bought into (our culture).
"It speaks volumes about his desire."