“He saw him running for around 40 yards, sprinting at times. He said he was on his own and he wasn’t looking back.”
The playing fields back lead to the River Hull, which runs into the Humber around three miles downstream.
Miss Squire, who was studying philosophy and religion was last seen late on Thursday night sat on a bench close to her home on Wellesley Avenue.
She had earlier been refused entry from a nightclub in the city centre for being drunk and had travelled home in a taxi.
Instead of going indoors once she arrived home, she walked to the junction of Beverley Road and Haworth Street where she sat down on a bench.
She was last seen on CCTV at around 11.40pm but is thought to have still been at the same spot until shortly after midnight.