Blackwell scored a goal on six shots and went plus-2 in Wednesday's 5-3 loss to the Maple Leafs.
Blackwell scored a goal in Wednesday's 6-2 loss to the Blackhawks.
Blackwell notched an assist and two shots on goal in Thursday's 7-2 win over the Bruins.
Blackwell signed a one-year, $775,000 contract with Dallas on Tuesday.
Blackwell (upper body) will return to the lineup Saturday versus Dallas, Blackhawks' beat writer Greg Boysen reports.
Blackwell (upper body) will not play Tuesday versus the Islanders, Scott Powers of The Athletic reports.
Blackwell (upper body) will be a game-time call for Tuesday's contest versus the Islanders, Ben Pope of the Chicago Sun-Times reports.
Blackwell (upper body) won't play Saturday versus Philadelphia, according to Ben Pope of the Chicago Sun-Times.
Blackwell (upper body) will miss his fourth straight game Thursday versus Ottawa, Ben Pope of the Chicago Sun-Times reports.
Blackwell (upper body) has been skating, but he has yet to be cleared for contact, Scott Powers of The Athletic reports.