Judicial sources have confirmed that Mr Renzi will be questioned on Friday as part of the investigation.
"I never asked for money. I never took money. Never,” he affirmed following the announcement.
“I think that the magistrates have all the instruments to verify this. I can't wait for the truth to come out. I want to be questioned. I want them to verify everything about me. I have nothing to hide."
L'Espresso magazine has announced in its upcoming issue that Mr Renzi and former Berlusconi aide Denis Verdini "exerted pressure" on CONSIP CEO Luigi Marroni, who reported this to police.
According to newspapers released on Wednesday, Mr Renzi and pharmaceuticals businessman, Carlo Russo, "got promises of money" as monthly payments from Alfredo Romeo, the high-profile businessman arrested in the CONSIP probe.
The payments were allegedly for exerting influence over Mr Marroni.
Mr Romeo was arrested and taken to jail early on Wednesday over the alleged corruption linked to CONSIP, and is to be questioned on Monday.
The businessman has "a network of institutional connections at a very high level" which he uses "in an unscrupulous way to steer the actions of the civil service to his advantage," a judge said in the arrest warrant.
Investigators also seized assets worth around 100,000 Euros from CONSIP official, Marco Gasparri, money that allegedly stems from bribes from Mr Romeo.
Carabinieri and finance police also conducted a series searches related to Italo Bocchino, a former lawmaker for the now-defunct centre-right People of Freedom Party (PdL).
Along with Tiziano Renzi, Sports Minister Luca Lotti is also under investigation in the probe.
Mr Lotti, seen as Matteo Renzi's right-hand man, said on Wednesday that he was "extremely relaxed" regarding the probe.
All indivuduals involved have denied any wrongdoing.
With ANSA