Mr Orhii was at the office of the Economic and Financial Crimes Commission (EFCC) earlier on Monday for interrogation over the allegations of abuse of office and contract scam.
His invitation for questioning followed allegations of supplies made at NAFDAC, linked to his personal company.
He was granted administrative bail, but he is expected to re-appear before the EFCC.
‘Unsubstantiated, Mindless And Spurious’
In reaction to claims that he was arrested, Mr Orhii in a statement by his Director of Special Duties, Abubakar Jimoh, denied being arrested by the EFCC, saying he went there on his own volition.
He explained that a former Director of Finance and Accounts of NAFDAC, Mr Demola Mogbojuri, had initiated a corruption allegation against him and that the claims were ‘unsubstantiated, mindless and spurious’.
Mr Orhii said that there was nothing unusual about his visit to the office of the anti-graft body.
He is the latest high-profile Nigerian that the EFCC has invited for questioning over allegations of corrupt practices since President Muhammadu Buhari took over office on May 29.
On July 28 the wife of the Senate President, Toyin Saraki, was at the headquarters of the EFCC for questioning over an alleged case of corruption.
After about five hours with the officials of the anti-graft agency indoors, Mrs Saraki left the premises with her supporters.
Earlier on July 8 the Former Head of Service of the Federation, Mr Steve Oronsaye, was arrested by the EFCC and was few days later brought before Justice Gabriel Kolawole of the Federal High Court Abuja, to answer charges of corruption, bordering on 1.2 billion Naira fraud.