Clarke, who underwent a hamstring surgery earlier this month, has been named in Australia's World Cup squad but given time until February 21 to prove his fitness.
The World Cup, to be jointly hosted by Australia and New Zealand, starts February 14 and Australia will be playing their second pool game, against Bangladesh, on the day Clarke is expected to be match-fit.
"Michael is progressing well in his rehab and is currently running on a regular basis and has commenced batting," Cricket Australia Physiotherapist Alex Kountouris said in a statement.
Clarke, who has a nagging back spasms problem as well, is currently keeping himself busy with rehabilitation and television commentary.