The Taw Hill practice moved into new premises at the end of 2004. The specially built centre includes 13 consulting rooms and two operating theatres.
But the practice has grown slower than anticipated and still has only three GPs, leaving many of the rooms empty.
A tie-up with Virgin will allow these rooms to be used for other services, such as dentists or opticians.
Dr Peter Crouch from the practice confirmed that the practice was in discussions with Virgin, but declined to comment on the reasons for the move.
Virgin also declined to comment on the discussions.
Since Virgin announced its plans to provide premises and administrative services to GP practices in January, it has made presentations to GPs across England.
In these, it discussed its plans for an anonymous M4-corridor practice, with a 'white elephant' premises and a patient list with an average age of 35.
Many GPs have complained that the presentations lack detail. The new Virgin-branded Taw Hill practice is expected to open in June.
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