It will be the first such visit by a senior Spanish minister in nearly 10 years, so it’s likely to attract plenty of media attention back in Madrid. And in Havana.
But the big question being asked is whether Moratinos will do the right thing and ensure he meets not just representatives of the Cuban government but also selected dissidents, such as Osvaldo Paya.
As the Spanish daily El Pais points out, any meeting with dissidents will hugely upset the Castro regime.
And as we know, the current Spanish administration would rather walk over broken glass than upset the Castro brothers.
So, we will watch with interest.