Michael Schumacher is still at the hospital in Grenoble, the major German newspaper Bild reports.
It is now more than a month since the F1 legend's manager Sabine Kehm announced that the former Benetton, Ferrari and Mercedes driver is showing "moments of consciousness and awakening" amid his long coma.
Not long after the early April announcement, Kehm said Schumacher, 45, would move "into a rehab clinic" as soon as it was possible.
"Bild's information is that Schumacher has not yet moved to a rehab clinic," the newspaper reported.
"Sabine Kehm only wants to make new statements when there are significant changes," Bild added.