Grundy’s future at the Magpies is facing some uncertainty with reports suggesting the All-Australian is after a seven-year deal.
It has been reported that Collingwood are currently unwilling to meet the long term demands of the 25-year-old superstar.
Lloyd believes both Essendon and Carlton should take the opportunity to make a play for Grundy with both clubs current ruck stocks aging.
“If I was (Essendon list manager) Adrian Dodoro, as soon as this trade period is done, I would be saying Brodie, here is seven years, here’s $8 million,” said Lloyd.
“Every club wants Grundy, but the Bombers, Tom Bellchambers has a year or two left…they’re crying out for a ruckman.
“Andrew Phillips and all these guys, they serve a purpose for 12 months as backup, but while this haggling is going on (with Collingwood), I’d start the process now.
“I think Carlton should start the process now with Brodie Grundy with Matthew Kreuzer coming to the end.”
Grundy is a restricted free agent at the end of next season.
Hailing from Adelaide, there has been some speculation the 203-centimetre ruckman may look to head home in the future if his contract demands are not met by Collingwood.