Renault could have a vacancy next season with 31-year-old Nico Hulkenberg out of contract and the German's future uncertain.
Abiteboul said in February that Hulkenberg would be measured against Ricciardo in what could be a make-or-break year.
Hulkenberg holds the Formula One record for most grands prix started without ever stepping on the podium - 164 to date, with a best result of fourth.
"(Regarding) Nico's contract, the initial term is coming to an end at the end of this year, but there is some mechanism of options," Abiteboul said at Le Castellet.
"So it's maybe that we continue our journey with Nico. Frankly, Nico has delivered for the team," he added.
"But also we need to look at the options, like everyone is doing, like I'm sure Nico is doing...things are open for him and for us, but there is also an option in place so that we can possibly continue our journey together."
Hulkenberg has scored half of Renault's 32 points this season after eight races. The team, fourth overall last year, are currently fifth and eight points behind McLaren.