Jones-Bishop has found his opportunities with the Rhinos limited this season and will move on at the end of the year.
Red Devils owner Marwan Koukash has openly admitted he’d like to see the 25 year-old at the AJ Bell Stadium but Harris believes there will be competition for his signature.
“I think when any quality player says they are not going to stay with their current club then you’ve got to be in the market for them so long as you can fit them within your budget,” Harris told Love Rugby League.
“Ben Jones-Bishop is somebody who I’ve admired over the past few years and I don’t think I’m on my own in saying that.
“There are a number of coaches who admire his style of play, he’s got speed in abundance which is one quality you can’t always buy.
“If we get an opportunity to speak with him and let him know about our plans for the club then I’d be delighted.”
“But what that does mean is that you have to be very strong in defence and I’m hopeful that by the time Kevin arrives that will be the case.
“Last week we limited Hull KR to 16 points but two of their tries came from poor defence at kicks which was ten points.
“If we can cut that out then we stand a good chance of beating anyone. I’ve noticed an improvement in our defence as well as other things so I’m feeling good about this team.”