The German driver last raced in 2011, but he was dropped by Force India following an altercation with Eric Lux in China, resulting in Sutil being charged with GBH.
However, following the departure of Nico Hulkenburg to Sauber, the second seat at the team has been made available.
Force India are the final team with a seat left, and they are also thought to be considering test driver Jules Bianchi and ex-HRT driver Narain Karthikeyan.
Bianchi was given track time at the first test in Jerez, going second quickest on the final day, but the team is keen on giving him a second season of testing before promoting him to their line up.
Karthikeyan may be an unlikely choice, but Indian car giant Tata are rumoured to be able to provide significant sponsorship, aiding the financial troubles at Force India.
However, Sutil is clearly aware that this is his last shot at Formula One.
“We continue to hope, knowing that Barcelona is pretty much the last chance,” said his manager Manfred Zimmermann to DPA.
The details of the test are expected to be confirmed later today, but Sutil will be keen on impressing in order to give himself the best possible chance of partnering Paul di Resta for 2013.
Testing begins tomorrow at the Circuit de Catalunya, and will conclude on Friday before the teams reconvene in Barcelona one week later for the final test ahead of the Australian Grand Prix.
Image courtesy of Octane Photographic.