Sullivan's call for a limit was part of a plan he presented to the board of trustees at its meeting Wednesday.
Last fall, interim President John Bramley urged a limit of 3.5 percent on the tuition increase for 2012-2013, which was approved.
The board usually adopts an annual budget and sets new tuition rates at its May meeting, according to reports.
Sullivan said an increase of less than 3 percent for the 2013-2014 academic year would be the lowest jump at UVM in 36 years.
The current tuition rate is $13,344 for Vermont residents. Out-of-state residents pay $33,672.