The Denmark international has been tipped to move to Anfield following Henrikh Mkhitaryan's switch to Borussia Dortmund.
The Bundesliga giants were expected to compete with Liverpool for Eriksen, but the signing of the Armenian international most likely takes them out of the running.
Serie 'A' outfit Roma are also interested. And De Boer thinks Eriksen should ignore any offer from Liverpool should it be forthcoming.
"If they play as they do now, I would not go," de Boer told Dutch newspaper Algemeen Dagblad.
"The playing style would not suit his own, but ultimately it is for Chris himself to decide."
21-year-old Eriksen is out of contract at Ajax next summer, which means the Dutch champions will have to sell before the transfer window closes if they want to recoup a significant fee.
Liverpool have been active early in the market this summer, with Brendan Rodgers already clinching moves for Luis Alberto and Iago Aspas.
The two La Liga captures bolster a strong looking attacking lineup at Anfield, which boasts Coutinho, Luis Suarez and Danny Sturridge.
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