Both had been rested for the Cottagers' 1-1 draw with Wigan but Johnson (groin) and Murphy (knee) have failed to recover and Diomansy Kamara also misses out with an ankle injury.
Simon Davies could make his first appearance for two months after recovering from a foot injury while all Roy Hodgson's international players, including the Republic of Ireland's Damien Duff and Stephen Kelly, are fit for the trip to St Andrew's.
Fulham (from): Schwarzer, Zuberbuhler, Konchesky, Pantsil, Hangeland, Baird, Smalling, Kelly, Hughes, Etuhu, Dempsey, Gera, Andranik, Riise, Greening, Duff, Davies, E Johnson, Nevland, Seol, Zamora, Elm.
