Overnight leader Matthew Wolff was not able to recover from a poor start.
Americans Ryan Armour and Bryson DeChambeau sit in second place.
Webb Simpson isn't bothered by the number of the positive tests on the PGA Tour.
Brendon Todd led the way after the third round of the Travelers Championship.
McIlroy is four shots behind leader Phil Mickelson after seven withdrawals from the event due to Covid-19
Matt Wallace opens up on his lucky escape at the coronavirus-hit Travelers Championship.
Seven players have now withdrawn from the PGA Tour event for reasons relating to Covid-19.
The Northern Irishman shot seven-under 63.
Colin Montgomerie is worried the PGA Tour isn't taking the threat of coronavirus seriously enough.
Rory McIlroy reckons it would have been "silly" to shut down the Travelers Championship.