The police, on September 27, had served a notice at Singh's official residence, asking him to appear on or before September 30.
The police are investigating alleged irregularities in appointments at the Madhya Pradesh State Assembly secretariat between 1993 and 2003 (when Singh was the Chief Minister).
Singh's lawyer Ajay Gupta said, "I have informed the investigating officer, the City Superintendent of Police (CSP) Salim Khan, that my client is in US and therefore it is not possible for him to appear before them tomorrow."
In February this year, the police registered a case against Singh, former Assembly Speaker Sriniwas Tiwari and others for forgery, conspiracy, cheating, misuse of office and offences under the Prevention of Corruption Act on a complaint filed by the MP Assembly secretariat.
Meanwhile, Singh himself said in a tweet from the US that "(Chief Minister) Shivraj (Chouhan) ji you have sent a notice to my residence on the occasion of Anant Chturdashi despite knowing that I am away in US for the treatment of my daughter. Thank You....Don't worry, I will not run away and record my statement. Your police can take any action it wants.