One source indicated that Bieniemy will make a decision by Wednesday of this week.
The position came open at Texas when the Longhorns' running backs coach, Michael Haywood, recently accepted the offensive coordinator position at Notre Dame.
There have been rumors about Texas being interested in Bieniemy for a week or so, and many sources close to the situation revealed more about it in the last twenty-four hours.
While rumors have swirled, it was confirmed that Bieniemy was seen this week in the Century Plaza Hotel in Los Angeles, which was used by Texas coaches and players for the Rose Bowl. It was believed he had met with Texas coaches at that time.
UCLA confirmed Sunday that Bieniemy had been cleared to speak with Texas.
Texas sources indicated strongly that Bieniemy has agreed in principle to accept the offer from Texas. Other sources have said that Bieniemy has yet to make a decision, but is leaning toward making the jump, mostly because of a considerable increase in salary.
It's believed that Dorrell would try to sweeten Bieniemy's salary, but that it could be difficult to do so, given salary constraints. One of the factors that led the fiery coach to come to UCLA was to be closer with his family, since he grew up in Southern California and attended La Puente Bishop Amat High School.
Bieniemy participated in a UCLA coaching staff meeting yesterday and, apparently, it was business as usual.
Bieniemy came to UCLA from Colorado, his alma mater. Having been an All-American running back for the Buffaloes in 1990 and having played in the NFL, Bieniemy had known Dorrell and came with him to UCLA last season. He is considered an excellent running backs coach and perhaps UCLA's best recruiter.