Striker Murray has returned to fitness following a hernia operation and left-back McNulty is back after a spell on the sidelines with ankle trouble which came after last season's horrific kidney injury.
Both played in Tuesday night's Johnstone's Paint Trophy defeat at Leyton Orient but White is wary of plunging them back into league action at Yeovil on Saturday.
"You need to be careful before you throw them back into it," said White.
"It was important to see how they were, because it's been a long time since either of them played 90 minutes.
"They are options, but it is whether they are ready or not."