The 31 year-old is scheduled to fight at 8,000 capacity Liverpool Docklands Echo Arena on April 21 and wants a recognized name for the contest.
Lo Greco has previously faced past and present world welterweight champions Shawn Porter and Errol Spence Jr. and would be a good measuring stick for Khan following an absence of two years.
“They made me an official offer for Amir Khan but I don’t think it’s good enough,” Lo Greco exclusively told World Boxing News.
“The fight would be at 147 pounds and I’ve been fighting higher than that so It’s going to be a bit more. I can get down to 147 but haven’t for a few years so I’ll do it if they increase the offer.
“If Khan is supposed to be looking to fight Kell Brook at a higher weight then I’m sure he could fight a bit higher for this fight.
“I think I’m being reasonable as Eddie Hearn has a good deal with Sky Sports and it’s a main event fight so getting down to 147 comes with some added expense,” he stated.
‘King’ Khan last fought in May 2016 when being obliterated by Canelo Alvarez on the back of five decent rounds of holding his own and wants to be in the championship picture by the end of 2018.
Prospective opponent Lo Greco, 33, has lost three of his last six outings but got back in the win column most recently in June with an eight round majority decision victory over Jesus Gurrola in Niagra Falls.
‘The Italian Sensation’ – who is based in Canada, singled out Khan as soon as the Briton confirmed his spring return and has been berating him on social media ever since.
Labelling the Bolton man ‘Khandashian’, Lo Greco’s ploy seems to have worked, although Hearn will have to make an improved offer in order to entice the ex-WBC International champion to England.
Phil Jay is Editor of World Boxing News. Follow on Twitter @PhilDJay