The 24-year-old wants to return to the club he left for Anfield in 2007 to get regular first-team football.
Liverpool are reported to be interested in Uruguay striker Suarez, who scored three times at the 2010 World Cup before his infamous sending-off for a goal-line handball in the quarter-final against Ghana.
"The transfer of Suarez to Liverpool opens the door for me to go to Ajax," Babel was quoted as saying by De Telegraaf newspaper.
"If Liverpool and Ajax - whether in combination with Luis - can reach an agreement over me I will surely come to the club. For the chance to play I am willing to settle for far less pay."
Source: PA