Early Wednesday morning, ESPN's Mike Greenberg said there has been a gap between Luck and the Colts, and the franchise quarterback's time in Indianapolis could be coming to an end.
"Quite simply and succinctly, there's no truth to that comment at all," Wilson said, according to ESPN.
"Andrew did a long-term deal and he did it for a reason: He wants to be with the Colts and he's committed to the Colts. It's as simple as that. He looks forward to the opportunity to play when he's ready. He wants to get out there when he's ready, obviously. He's just going through rehab; it's the process he's going through."
On Wednesday's show, Greenberg cited a "general sense" from around the league that Luck is growing tired of the Colts.
"Even with that enormous contract and that enormous talent, we could be seeing, right before our eyes, the end of the Andrew Luck era in Indianapolis," he sai
Luck signed a six-year, $140-million contract in June 2016.
He'll remain sidelined for Week 2 following offseason shoulder surgery, after watching his team get dismantled 46-9 by the Los Angeles Rams in the season opener.