Rakeem Miles punched Mr Winter in the head before fleeing the scene last August.
Jurors at Inner London Crown Court heard Mr Winter, a physiotherapist, had brushed past Miles on his way up the escalator, causing him to react violently. The 28-year-old sustained a critical brain injury and died two days later with his family by his side.
Police were able to track down Miles, 24, through his Blue Oyster Bar card usage and he was arrested the day after the attack. He was cleared of murder by a jury in March but admitted manslaughter and was sentenced on Tuesday.
"Winter got off the train and walked up the escalator, brushing past Miles on his way past.
As he headed through the barrier Miles followed behind him yelling abuse.
Miles caught up, grabbing Mr Winter from behind, ripping his top in two as he pulled the shocked commuter to face him.
He then punched Mr Winter once in the head before leaving him collapsed on the stairs."