"There would be no timeline to it," said head coach Paul Maurice.
"He has the right to his privacy in this. There is nothing sinister to it. He needs some time and he was given that.
"I think it's going to be well handled."
General Manager Kevin Cheveldayoff said Byfuglien asked to have a quick chat with him on Thursday.
"I met with Buff yesterday and in the conversations he indicated he needed some personal time, and of which we'd certainly grant. Dustin is a big part of our family here. There is always an open policy for discussions. You always care about people in your family," said Cheveldayoff.
"Health wise everything is good for him and his family. From our standpoint, we support Dustin and look forward to the resolution."
