The 25-year-old has made just four Magners League appearances this season and hasn't played any rugby since suffering a serious knee injury in Ireland's defeat to New Zealand in November.
And with the domestic season coming to an end after this weekend's Magners League Grand Final, the IRFU are considering sending Kearney to Cape Town for the remainder of the Super Rugby campaign.
"We're looking at the South African option for Rob and we've made contact with the Stormers there," Ireland manager Paul McNaughton told the Irish Independent.
"We're waiting for sign-off from our medics in the next few days to see what weeks he can start playing.
"He's been keeping as fit as he can without playing matches, gym fit, but he'll obviously need some preparation before he plays down there."
Kearney's last involvement for Leinster was back in late October when he played 40 minutes in the win over Connacht.
The Lions Test star had previously played the full 80 in the games against Treviso, Edinburgh and Munster but has since had to watch on from the sidelines as Leinster charge towards a Magners League and European double.
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