Hjalmarsson hasn't played since Feb. 23 due to a suspected concussion and has been on the Hawks' three-game road trip and practicing with the team.
"(Hjalmarsson) is going to be out for (Tuesday) but he's still progressing," coach Joel Quenneville said following Monday's practice at Scottrade Center. "He's getting real close. We have three extra days going into Friday (vs. the Rangers)."
Meanwhile, Quenneville said captain Jonathan Toews, who will sit out his eighth game in a row with a suspected concussion, "had a good day off the ice (in Chicago). He worked and he's fine."
Quenneville added that the team is "hopeful that it's soon" that Toews begins skating before adding:"I can't give you a date. (Monday) was encouraging."
When asked if Toews' current condition had anything to do with his Feb. 23 car crash, Quenneville vehemently replied: "I don't think it has anything to do with where we're at."
Twitter @ChrisKucCopyright © 2015, The Baltimore Sun