The 25-year-old Newcastle Falcons player will find out on Thursday whether he is to be passed fit for Saturday's European Cup quarter-final trip to Stade Francais.
Wilkinson told the Evening Chronicle: "I am running around, jogging at a fair pace, hopping and lifting big weights.
"The only drawback is I still have a bit of pain but physically I am at the stage I was after four, five or maybe even six weeks after the last injury."
He added: "I am still going day by day.
"There are no goals for playing again yet but maybe I could make the European game - that would be an incredible scenario."