The Norwegian international has played a key role for Rovers this season, putting in several man-of-the-match displays for his performances on the wing.
King also impressed as the second striker last time out, with Bowyer moving the wideman further forward to good effect as Rovers defeated Middlesbrough 1-0, something the Rovers boss feels could be an option in future games.
"Middlesbrough came with a game plan and we couldn't really execute what we were trying to do with Kingy out there," said Bowyer.
"So we made the change and it gave us something to work with and I think ultimately it made a difference to the game because his pace is a threat and him going down the middle gave their defenders some problems.
"It does give us another option that us for sure."
King has just the one goal in a Rovers shirt this season, netting in his side's 5-2 win over Barnsley back in August, and Bowyer has challenged the 21-year-old to add more goals to his game.
"He knows he needs to add goals to his game now, whichever position he plays," added Bowyer. "But he's proved that he's got the flexibility to play our wide or down the middle and that helps the squad massively.
"If we get stretched then we know we can stick him down the middle.
"He's in the same group working with Lowey on his finishing so we're hoping that he starts banging them in as well."