PM Youssef Chahed warns against spreading “fake news” about the condition of Beji Caid Essebsi, 92.
Tunisian President Beji Caid Essebsi is in hospital after suffering a “severe health crisis”, officials say.
They gave no further details. Mr Essebsi – who at 92 is the world’s oldest sitting president – was also treated in hospital last week.
PM Youssef Chahed said Mr Essebsi was receiving all the attention he needed and people should stop spreading “fake news” about his condition.
There had been reports that the president had died.
Mr Chahed said in a Facebook post (in Arabic) that he had visited the president in hospital.
Earlier this year, he announced he would not stand in elections expected in November, saying someone younger should take charge.
Former Tunisian President Zine el-Abedine Ben Ali was ousted in 2011 after 23 years in office.
Since then, Tunisia has won praise as the only democracy to emerge from the revolutions of the so-called Arab spring.
However, in recent years the country has suffered attacks by Islamists and economic problems, with unemployment a persistent issue.
Earlier on Thursday there were two suicide bomb attacks on security forces in the capital, Tunis.
The interior ministry said one targeted a police patrol on one of the city’s main streets. One officer was killed and another wounded along with three civilians.
The second bombing – in another neighbourhood – injured four people at the gates of a national guard base.
It’s not yet clear who was behind the attacks.