The shop worker has been pardoned and freed from jail, according to The Sun.
Ms Plummer told the paper: "My two-week holiday in the sun turned into a nightmare."
She added: "I'm so happy to be going home. I mean, who goes on holiday for two weeks and then stays 14 months?
"I just wish I wasn't being deported. But I promise you - I'll never set foot in an airport again."
Ms Plummer was arrested at the airport on October 9, 2017, when she flew into the Red Sea resort of Hurghada.
She claimed she was taking the tablets - which are legal in the UK but banned in Egypt - for her Egyptian partner Omar Caboo, who suffers from severe back pain, and had no idea what she was doing was wrong.
The Plummer family has previously said Ms Plummer had no idea that what she doing was illegal and was just "daft".
They said she did not try to hide the medicine, which she had been given by a friend, and she thought it was a joke when she was pulled over by officials after arriving for a holiday with her partner.
Mrs Sinclair said her daughter was being held in terrible conditions in a communal cell with no beds, sharing with up to 25 other women.
A spokesman for the Foreign and Commonwealth Office said: "Our staff continue to do all they can to support Laura and her family, and our Embassy remains in regular contact with the Egyptian authorities."