The Only Way Is Essex has spoken out following reports that 33-year-old McLean was killed in the collision in the port city of Bodrum, which left fellow TOWIE star Yazmin Oukhellou seriously injured.
Goodger, 35, said in a statement written in red capital letters on her Instagram stories: "R.I.P Jake, I have no words right now.
"My thoughts are with your family and friends."
Goodger dated McLean between 2012 and 2016.
Oukhellou, 28, is recovering in hospital following treatment.
Her representative told PA news agency: "Yazmin is stable and recovering in hospital after surgery.
"Yazmin and her family have requested privacy at this time."
A Foreign, Commonwealth and Development Office spokesman said: "We are supporting the family of a British man who died in Turkey and are in contact with the local authorities.
"We are also providing support to the family of a British woman who has been hospitalised."
Many of Oukhellou's TOWIE co-stars have sent her messages of support and well wishes on social media, since news broke of the crash.
Mia Sully posted on her Instagram stories: "My thoughts and prayers are with you my beautiful Yaz. Heartbroken for you."
Chloe Brockett said: "Thinking of you Yaz... Please keep Yaz in your prayers tonight."
Demi Sims also shared a picture of herself with Oukhellou said: "Praying for you my love."
Fans also shared messages of support to Oukhellou's most recent Instagram post, a picture of her shared the previous week from London.
Oukhellou confirmed she was dating McLean in December 2021 with pictures of a romantic date night shared on her social media.
But in January 2022 she announced they had split.
Goodger is currently heavily pregnant with her second child.
The reality star - who welcomed baby daughter Larose in July last year - is expecting another baby girl with her ex-boyfriend Charles Drury, 24.
Goodger confirmed she and Drury have split, after he admitted cheating on her, but are planning to co-parent their children together.
Watch: Lauren Goodger reveals how she picked her baby's name