The 'Oh My Goodness' singer explained that he wants to spend time with The Saturdays singer Mollie King.
Wiseman will marry JLS singer Marvin Humes in June, after confirming their engagement earlier this year.
"I'm going to try to find a way to get invited," Murs told The Sun.
"That way I'd get to hang out with Mollie. She's lovely."
Murs recently joked that asking for Cheryl Cole's number was "worth a crack".
The X Factor runner-up will join One Direction on their US summer tour from May.
King split from her model boyfriend David Gandy in February after just under a year together.
Watch the video for 'Oh My Goodness' by Olly Murs below: