They quote judicial sources as saying that Paris appeals court will now study a request by Nicolas Sarkozy for the case to be dismissed.
Nicolas Sarkozy, 59, is still facing several other judicial investigations.
Last week he said he would seek the leadership of the opposition UMP party – the move widely seen as a first step towards a presidential bid in 2017.
Nicolas Sarkozy’s announcement ended months of speculation about the intentions of the conservative former president, who vowed to give up politics after he failed to be re-elected in 2012.
The UMP party elections are due to be held in November.
Although Nicolas Sarkozy has kept a low profile since leaving office, he has faced a series of investigations that involve him in some capacity.
The suspended case relates to an alleged attempt to influence judges who were looking into his affairs.
The suspension could last several months, according to AFP news agency.
Other inquiries include one into his links with late Libyan leader Col Muammar Gaddafi and another into illegal campaign funding in 2012.
Nicolas Sarkozy denies wrongdoing.
The US House Ethics Committee has voted to release its report on former Republican Representative…
ABC News has agreed to pay $15 million to President-elect Donald Trump to settle a…
South Korea’s parliament has voted to impeach President Yoon Suk Yeol over his failed attempt…
Israeli war planes have carried out more than 100 air strikes in Syria on December…
President-elect Donald Trump has threatened to impose 100% tariffs on the BRICS countries if they…
Syrian troops have withdrawn from the city of Aleppo following an offensive by rebels opposed…