Terry has been in good form this season for title-chasing Chelsea, making 32 league appearances in the centre of a defence that is the tightest in the division with 24 goals conceded in 34 games.
The 33-year-old has reportedly been offered a new deal by the West London club but on half his current wage.
Holland rejected any reports of rift between club and the 33-year-old Chelsea captain, and intimated that the Blues are also closing in on new deals for long-serving duo Ashley Cole and Frank Lampard.
“John has had an outstanding season; we have the best defensive record in the Premier League and he’s played in almost all of that and been a major part of it all,” said Holland, ahead of Saturday’s Premier League game with Sunderland at Stamford Bridge.
“I know that John wants to stay at Chelsea, and Chelsea want John to stay, so hopefully that situation can be concluded amicably over the next few weeks.
“It’s the same situation [with Lampard and Cole], we’re dealing with not just normal players, but magnificent servants for this club over a long period.
“So full respect will be given for those players.”
Terry, who retired from international duty with England in September 2012, has made over 600 appearances for Chelsea having made his debut in 1998.
Cole’s contract also expires this summer and manager Jose Mourinho has stated he would like the left-back to stay at the club.
However, the 33-year-old has only made 21 appearances for the club this season, with Mourinho preferring Cesar Azpilicueta on the left of defence.
Lampard, 35, is Chelsea’s all-time record goalscorer with 209, eight of which have come this season from 36 appearances.
The midfielder signed a one-year deal last summer after admitting he had expected to leave the club.
Holland also claimed that Jose Mourinho’s vast experience of launching successful trophy bids on multiple fronts could prove crucial as Blues chase both Premier League and Champions League crowns.
“Experience is always vital in any competition and we have a good blend in our squad,” said Holland.
“We have many players that haven’t been in this situation before, but also a good group that have.
“We also have a very experienced manager who has been in this situation before, and it’s good to have that experience at this stage.
“We’ve got the circumstances we have: this is a club used to playing a lot of matches at this stage of the season.
“Last season we got to the final of the Europa League which was 15 extra matches, the year before we had 13 for the Champions League.
“We’re in a situation we’ve been in in before.” Holland concluded.