Lovegrove has departed the Broncos and linked up with Bradford on trial.
“I’m not looking for someone to replace Rhys,” he told Love Rugby League.
“We’ve got a pretty bit of cover there at 13. I’ll give an opportunity to the current group of players that we have [first]. I may look later on.”
Henderson paid tribute to the contribution of Lovegrove who joined the Broncos in 2015 from Hull KR.
“He’s been great for us,” he said.
“He’s helped our young players. It’s a shame he can’t finish his contract for us. Rhys has been a great servant to the club.”
London started the new Championship season with a 22-0 win over Oldham.
“I challenged the players early in the week after the loss to Dewsbury, I was please with the response,” Henderson said.
“There’s some areas with the ball where we need to improve. Credit to Oldham, they played a simple but effective game. But we repelled every attack they throw at us.
“Our defensive attitude was unbelieveable. There was real commitment from the players. I’m confident the team will get the better as the season goes on.”
The Broncos take on another promoted team in Swinton this weekend.
“Knowing John Duffy I’m sure he’ll play an attacking game of football,” he said.
“I’m expecting them to maybe ask a few more questions of us. I’m sure they’ll be come here to play. We won’t be disprecting the opposition, they’re a quality team.”