The only goal of the game came in the 10th minute from Scott Laird's penalty following an incident where Pools goalkeeper Scott Flinders was sent off.
And, after seeing off Newcastle United in round three last season, Westley is not concerned about who his in-form side are paired with in Sunday's draw.
"I'll take the draw whoever we get - look at what we have had recently Hartlepool away or Newcastle at home," he said.
"We did enough with the penalty and the moment to win the game. It's a goalscoring opportunity so the keeper has to go.
"Beardo (Chris Beardsley) got past the keeper - a stonewall penalty."