Pesce scored a shorthanded goal in Thursday's 3-1 win over the Kings.
Pesce notched an assist in Saturday's 6-5 loss to the Capitals.
Pesce (undisclosed) is expected to play against Carolina on Thursday.
Pesce is considered day-to-day with an undisclosed injury, Amanda Stein of the Devils' official site reports Tuesday.
Pesce (lower leg) is expected to be in the lineup for Friday's game versus the Islanders.
Pesce (lower leg) will be a game-time decision for Friday's matchup against the Islanders, Mike Morreale of NHL.com reports.
Pesce (lower leg) will be in the lineup to face Detroit on Thursday, Bill Spaulding of MSG Network reports.
Head coach Sheldon Keefe said Wednesday that Pesce (lower leg) will travel with the Devils ahead of Thursday's road matchup in Detroit, Devils play-by-play announcer Matt Loughlin reports.
Pesce (lower leg) is close to making his New Jersey debut, though he won't play Tuesday against Tampa Bay, Amanda Stein of the Devils' official site reports.
Pesce is skating in a regular jersey at Tuesday's practice, Amanda Stein of the Devils' official site reports.