The move comes with Pickard sitting third on the depth chart, with the Oilers opting to go with Tristan Jarry and Connor Ingram as their tandem.
The 33-year-old last played on Jan. 8 in a victory over the Winnipeg Jets.
In 16 games this season, Pickard has a 5-6-2 record with a 3.68 goals-against average and a .871 save percentage.
Ingram has a 6-3-1 record with Edmonton in 12 games, recording a 2.55 goals-against average and a .901 save percentage.
Jarry joined the Oilers in a trade from the Pittsburgh Penguins and has a 9-3-1 record with a 3.59 goals-against average and a .873 save percentage.
Kirkland has appeared in just 20 games this season, recording a goal and two points. The 29-year-old signed a one-year, $900,000 deal last June.
