Geekie scored a goal on two shots in Wednesday's 5-2 win over the Avalanche.
Geekie logged an assist and went plus-3 in Tuesday's 8-5 win over the Devils.
Geekie will be suspended for Friday's matchup with Carolina, the Department of Player Safety announced Thursday.
Geekie will have a hearing with the NHL Department of Player Safety on Thursday for leaving the bench Wednesday for the purpose of starting a fight versus the Lightning.
Geekie has been traded to the Lighting, along with J.J. Moser and draft picks, for Mikhail Sergachev, reports Puck Report NHL.
Geekie signed a three-year, entry-level contract with Arizona on Monday.
Geekie was selected 11th overall by the Coyotes in the 2022 NHL Entry Draft on Thursday.