General manager Kevin Cheveldayoff said it's hard to put a time frame on when the forwards will be signed, but forward Blake Wheeler said he's hoping for a fast resolution.
"Clearly, we're a better hockey team with those guys in our lineup and, once again, as friends of theirs and (a) teammate, you support them and you want them to capitalize on their value and come into camp excited about being here," Wheeler said. "But the rest of it is out of our control and, to a large degree, is out of their control. It's going to get dealt with and figured out and when it does, we're going to give them a big, old hug and get them in the group and get them up to speed."
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Laine had 50 points (30 goals, 20 assists) in 82 games last season. The 21-year-old has scored 110 goals in his first three NHL seasons, sixth most in that span.
Connor had 66 points (34 goals, 32 assists) in 82 games last season. The 22-year-old had 123 points (65 goals, 58 assists) in 158 games the past two seasons.
Laine and Connor are two of several high-profile restricted free agents who are unsigned and not at training camp. That group includes forwards Brayden Point of the Tampa Bay Lightning, Mikko Rantanen of the Colorado Avalanche, Brock Boeser of the Vancouver Canucks and Matthew Tkachuk of the Calgary Flames, and defenseman Charlie McAvoy of the Boston Bruins.