"Their suspension is necessary, otherwise there will be a problem in the inquiry," Sisodia told the media.
"Our government won't keep quiet. This is not Sheila Dikshit's government. The government has changed. We will take action whether or not Delhi Police is under us," he said.
Sisodia, the de facto number two in the ruling Aam Aadmi Party, said a government delegation led by chief minister Arvind Kejriwal called on the Lt Governor and pressed for the suspension.Read: Kejriwal flays Delhi Police, wants officials suspended
According to the minister, while Jung said he won't suspend anyone, Police Commissioner BS Bassi said suspending the men "now will be difficult".
Sisodia said an AAP delegation will now take the demand to Union home minister Sushilkumar Shinde.
Sisodia denied charges of vigilantism hurled against two Delhi ministers - Somnath Bharti and Rakhi Birla.
Bharti accused Delhi Police of not acting against a sex and drug racket despite repeated complaints while Birla alleged that police were refusing to arrest a family which had set their daughter-in-law on fire.Read: AAP minister attempts raid on ‘drug racket’, ends up in spat with police
On Thursday, Kejriwal asked Delhi Police to suspend the officers, including the station house officers (SHO) of Malviya Nagar in south Delhi and Sagarpur in west Delhi.