The university, which has 3, 000 students, was established in 1968 and is named after its patron, Blessed JohnHenryCardinalNewman, who was beatified during the Pope's visit to Birmingham in 2010.
Dioceses in England and Wales have reported thousands of unfilled places for a vigil in London's Hyde Park on Saturday and a beatification Mass in Birmingham on Sunday for 19th Century cardinalJohnHenryNewman.
It has been reported Mr Brown suggested a visit could coincide with the beatification of CardinalJohnHenryNewman - a famous British convert to Catholicism, who died in 1890 - expected within the next two years.