The 25-year-old pop star has posted an image on her Instagram account of a playful, rhyme-filled exchange between herself and Ed, 24, in which he jokes that platinum-selling artists like themselves ought to be able to "do better".
Taylor says: "Go to sleep, I'll talk to you soon."
To which Ed responded: "In a bizzle, swizzle."
But Taylor couldn't let the conversation die, and replied: "Like you said, Ed."
However, the 'Thinking Out Loud' hitmaker was determined to have the final word in their conversation, but freely conceded that their rhyming skills fell some way short of the expected standard.
Carrying on the exchange, Ed said: "That's okay, tay.
"You'd think for multi platinum lyricists we'd do better."
Meanwhile, Ed - who split from his girlfriend Athina Andrelos in March - recently confessed that Taylor is helping him to find a new love interest.
He admitted: "She's a brilliant wingman."
What's more, Ed revealed he's looking for a serious, long-term relationship rather than a short-term fling.
He shared: "I'm from a family where you find a partner and stick with them."