Both players have missed the last two matches. Striker Stead has been nursing a dead leg while midfielder Thompson has had a slight hamstring niggle.
The pair will be given as long as possible to make themselves available but French defender Thierry Audel may not make the matchday squad again, despite being fit.
Elliott Hewitt and Shola Ameobi were both introduced as substitutes fairly early on at Doncaster in midweek and might have done enough to earn starting places on Sunday.
Barnet manager Kevin Nugent has no new injury worries ahead of the trip.
Defender Elliot Johnson could be in contention to start after coming on as a late substitute for their 2-2 draw against Yeovil having recovered from injury while Sam Akinde is pushing for his first start for the Bees.
Centre-back Ricardo Santos looks set to remain sidelined with a knee problem.
Jamie Stephens (hamstring), Josh Vickers (quad), Jack Taylor (hernia), James Pearson (knee), Michael Gash (knee) and Shaun Batt (quad) are all unavailable.