"Just taking it day by day and following the protocol and getting better each day," Weber told USA Today this week.
Weber missed the final four games of the Western Conference First Round against the Chicago Blackhawks after injuring his knee while battling for a puck along the end boards with Blackhawks forward Brandon Saad in a 6-2 win in Game 2 on April 17. The Predators lost the series 4-2.
Weber was given a timeline of 4-6 weeks for his recovery after surgery.
"Everything's moving along as it should be," Weber said. "I've been in contact obviously with the guys in Nashville and the surgeon, and everything seems to be on schedule."