The Posh currently occupy fourth spot in the League One table, while the visitors are seven points further back in sixth position.
Match preview
Peterborough are enjoying an impressive run of form which began with a commanding 3-0 win over Blackpool in the EFL Trophy semi-finals.
Since booking their place at Wembley, the Posh have seen off Cambridge United, Exeter City and Northampton Town, before claiming a 3-1 victory in Saturday's away meeting with Burton Albion.
Ricky-Jade Jones saw his opening goal cancelled out by Ademola Ola-Adebomi, but Peterborough still managed to leave the Pirelli Stadium with all three points thanks to late efforts from Josh Knight and Jonson Clarke-Harris.
Having moved up to fourth position, Darren Ferguson's side are four points adrift of second-placed Derby County with a game in hand.
Although the Posh are now preparing to face one of the league's strongest defences, they will be confident of breaching the Stevenage backline after scoring 41 goals in 17 home league matches - no other side has registered more home goals in the division.
Stevenage, meanwhile, have put together a four-game unbeaten run since suffering their most recent defeat to Derby County on February 17.
While they have kept clean sheets in all four of those matches, they have had to settle for goalless draws in their last two outings against Lincoln City and Fleetwood Town.
With 10 games left to play, Steve Evans's side are sitting in the playoff places and one point clear of Oxford United in seventh position.
Stevenage will turn their focus to Tuesday's trip to the Weston Homes Stadium, where they will attempt to end a three-game winless away run.
They can certainly take confidence from the fact they have avoided defeat in each of their last competitive matches against the Posh.
Peterborough United League One form:
L
L
W
W
W
W
Peterborough United form (all competitions):
L
W
W
W
W
W
Stevenage League One form:
L
L
W
W
D
D
Team News
Peterborough have reported no fresh injury concerns, but they remain without the services of Will Blackmore, Jacob Wakeling and Jeando Fuchs.
Despite coming off the bench to score a late goal against Burton, Clarke-Harris may have to settle for a place among the substitutes once again, with Ferguson poised to select an unchanged lineup.
Jones is set to make a third consecutive start after scoring his ninth league goal of the season in the win over Burton.
As for the visitors, midfielder Jake Forster-Caskey is a doubt after he missed the home game against Fleetwood.
Evans could be tempted to freshen up his midfield, with Nick Freeman in contention to start following Saturday's appearance as a half-time substitute.
Elliott List will provide Evans with a useful option off the bench after he made his return from injury with a substitute appearance at the weekend.
Peterborough United possible starting lineup:
Steer; Katongo, Edwards, Knight, Burrows; Kyprianou, Collins; Poku, Randall, Mason-Clark; Jones
Stevenage possible starting lineup:
Ashby-Harris; James-Wildin, Vancooten, Piergianni, Butler; L. Thompson, Burns, Freeman; Roberts; Hemmings, Reid