The Sky Blues play their final home match of a campaign beset by managerial changes and severe financial struggles against Leyton Orient on Saturday.
They remain unbeaten on their own patch under current boss Steven Pressley, a run Baker is keen to extend into next term.
He told City's official website: "We want to finish off the season at the Ricoh with a win and keep up our unbeaten record there under Steven Pressley. We want to win the last two matches for the fans who have been with us throughout the season.
"I really thought we would be going into this game with a chance of getting promoted but even though that wasn't to be it doesn't mean we don't want to finish the season in the right way.
"As a player, you want to win every game of football you play in and we are determined to get two wins from these last two matches. There have undoubtedly been some good points this season and our aim has to be to improve for next season and take the next step.
"The fans of this club are phenomenal and we want to show them our appreciation in these last games and go out on a high ahead of next season."