The Bulls were drawn out against Doncaster and will face them at Odsal next month – although news of the draw has taken a back seat due to the revelations surrounding the financial situation at the club.
Potter said: “I’m happy not to draw a Super League club.
“It was a preference to draw someone who doesn’t get the opportunity to train quite as much as us because that may give us the upper hand.
“Still, you never take anything for granted and we will put our best team out.”
Despite the kinder fixture, Potter acknowledged that the club must not get carried away, but admitted he was pleased with the home draw.
He said: It’s important to take each round at a time and we will just take it as it comes.”
“It’s always nice to be given a game at Odsal.
“I know we haven’t got a perfect home record at the moment but being at home is always better for the club and it’s fans.”
Bradford have not won a Challenge Cup since 2003 when they beat local rivals Leeds 22-20 at the Millennium Stadium, Cardiff.
Draw in full:
London Broncos v Dewsbury Rams
Widnes Vikings v St Helens
Leeds Rhinos v Wakefield Trinity Wildcats
Whitehaven v Salford City Reds
Featherstone Rovers v Castleford Tigers
Hull FC v Huddersfield Giants
Wigan v North Wales Crusaders
Swinton Lions v Gateshead Thunder
Hull Kingston Rovers v Catalan Dragons
Bradford Bulls v Doncaster
South Wales Scorpians v Halifax
York City Knights v Sheffield Eagles
Keighley Cougars v Warrington Wolves
Leigh Centurions v Rochdale Hornets
Oldham v Barrow Raiders
Hunslet Hawks v Batley Bulldogs