But Blues boss Alex McLeish isn't ready to include him in their clash with West Bromwich Albion.
"Kevin Phillips is not quite ready (for Saturday)," he said. "It would have been nice to take him along to the Hawthorns.
"He's back full training this week but he's doing a wee bit extra with the sports fitness guy Nick Davies.
"Parnaby is also training, so we've now got a clean bill of health."