Capello publicly criticised the FA's decision earlier this week but the disagreement does not appear likely to threaten his position as England manager ahead of the European Championships.
Former FA executive director David Davies had suggested that Capello may be in breach of his contract by criticising his employers. Bernstein and Capello are due to meet at Wembley Stadium, where they both have offices.
Bernstein is expected to explain in detail the reasons behind the FA's decision to go over Capello's head and remove the captaincy from Terry until after the Chelsea defender's court case in July, where he will deny a charge of racially abusing QPR's Anton Ferdinand.
The FA chairman took the decision on Friday after consulting with all members of the 14-strong FA board, saying it was in the interests of everybody, especially during the high-profile Euro 2012 tournament, that Terry was not England captain.
Bernstein has not conducted a similar consultation process with board members ahead of the meeting with Capello however - something he would feel obliged to do if there was an intention to take any drastic action.
He has, however, had messages of support from a number of board members that they will continue to back him strongly over the Terry issue.
Capello is understood to have no intention of quitting ahead of Euro 2012 - his contract ends after the tournament anyway.