A potential compromise could allow Liverpool to secure the signing of Andre this summer in a deal which would see the player join the squad in January.
The Brazilian has emerged as a potential target for the Reds with the squad still lacking a recognised defensive midfielder.
Liverpool have had three bids rejected by Southampton for Romeo Lavia, with Chelsea reported to have submitted an improved offer for the 19-year-old on Wednesday evening.
It is not entirely clear whether Andre is viewed as an alternative or in addition to a potential Lavia signing, but his involvement with Fluminense in the Copa Libertadores has added complications given that the next round of fixtures are scheduled just days before the English transfer deadline.