Pogge had one win and a 4.35 goals-against average in seven appearances with the Leafs last season.
He spent most of the season with the American Hockey League's Toronto Marlies, where he had 26 wins and a 2.70 GAA in 53 games.
Drafted 90th overall by the Leafs in 2004, the 23-year-old was once expected to be Toronto's future netminder, but the Leafs signed Swedish free agent Jonas Gustavsson in July.
On Monday, they also signed free-agent goalie Joey MacDonald to a one-year deal. He was 14-26-6 with a 3.37 goal-against record and .901 save percentage in 49 games with the New York Islanders last season.