It is reported the 28-year-old has met with Bombers management ahead of the upcoming trade period.
According to Cleary, Phillips is looking for a longer contract extension after being offered a one-year deal to stay with the Blues.
“He (Phillips) is No.2 in their pecking order behind Matthew Kreuzer. He has only been offered a one-year deal as it sits by Carlton,” Cleary told AFL Trade Radio.
“He is looking for two years for greater security; he is 28 years of age…he wants two seasons to play on at AFL level. He has met with Essendon.”
“The Bombers missed out on Paddy Ryder, so they are looking at Andrew Phillips to potentially fill that role (ruck depth),” said Cleary.
The former Giant played just five games for the Blues this season after joining the club in 2015.
The 203cm ruck has played a total of 41 games in his career so far.