Southam have failed to find the back of the net in their last five matches, including suffering a 1-0 defeat last week to Pelsall Villa.
Constable is realistic but not downhearted.
“I saw positives in the second half against Pelsall that we must take forward,” he said. “We had enough chances in that time to win the game. Our finishing needs to be better to take us forward as the chances are there.
“We have a tricky set of fixtures coming up but we must stay positive and believe we can get points out of every game because the chances are there.”
Saints will be without the suspended Aaron Cheshire and Luke Wilson against Leicester Road.
Racing Club Warwick look to make progress in the FA Vase when they entertain West Midlands Premier side Ellesmere Rangers.
In the Midland League Division One, Littleton travel to Coventry Copsewood.