Dagenham have a game in-hand over their rivals and are five points behind seventh-placed Shrewsbury with six fixtures remaining - against Aldershot, Gillingham, Bradford, Brentford, Notts County and Shrewsbury.
Despite some competitive fixtures ahead, Still hopes the Daggers can claim six wins and finish in the top seven.
"There's lots of tough games for lots of teams," Still said.
"The teams in the play-off places all have some tough games, some of them against each other, so they're not going to win every game.
"We believe with six games to go we can still make those play-offs places and that's what we'll be all out to do."