The restricted free agent forward set NHL career highs in goals (14), assists (21) and points (35) last season. The 24-year-old had 15 points (five goals, 10 assists) in 21 Stanley Cup Playoff games to help the Capitals win their first championship.
Mark Guy, Wilson's agent, told the newspaper there has been steady dialogue with Capitals general manager Brian MacLellan, but nothing is "done or close." Wilson did not elect to file for salary arbitration.
"We'll see what his representatives want to do," MacLellan said two weeks ago. "I'd prefer to keep him around for as long as we can."
Wilson was selected by Washington with the No. 16 pick at the 2012 NHL Draft. He has 104 points (35 goals, 69 assists) and 806 penalty minutes in 391 regular-season games, and 20 points (eight goals, 12 assists) in 62 playoff games with the Capitals.
"I love it here," Wilson said last month. "It feels like home. Toronto is my home. This is my home, too, 100 percent. I've had an amazing five years or whatever it's been. Obviously we'll hope to be around and sort everything out when it has to be."