The 35-year-old Savard, who is under contract with the Bruins through the 2016-17 season, hasn't played hockey since January 2011 due to post-concussion symptoms. He tweeted that his attempt to work out with his trainer "felt like crap but I need to do it."
He indicated he was hopeful -- but not necessarily optimistic -- about playing hockey again.
"I do in fact hope there is still a glimmer of light at the end of the tunnel to play but that rest on the doctor shoulders so far #nochance," he tweeted from his @MSavvy91 account.
Savard tweeted that he misses the game of hockey, which he says has "given me everything I have today." He plans on remaining active in the game even if it's not on the ice.
"Trust me I will give back to the game kids hockey, OHL hockey, #illbeback," he tweeted.
Last season, Savard purchased a suite at TD Garden for children who suffer from brain injuries and their families that was available at every home game through the end of the 2013-14 season.
Savard's battle with post-concussion syndrome began following a blindside hit from Pittsburgh Penguins forward Matt Cooke on March 7, 2010. That hit forced him to sit out until May of that year, when he returned to the lineup in Game 1 of the Bruins' seven-game series loss to the Flyers in the Eastern Conference semifinals. Savard made another comeback attempt midway through the 2010-11 season but following a head-first collision into the boards against the Avalanche on Jan. 22, 2011, his season was over. He has not attempted a comeback since then and has suffered from fatigue, headaches and memory loss.