Constantly thirsty even after drinking 3L of water today...

Anyone else in the same boat? I feel like 3 litres (this excludes any estimate for water intake from food) is probably 'too high' (I'm seeing an upper end recommendation of 2.8L for someone pregnant with my BMI), but equally I need to drink >3L to get rid of this awful sensation of being thirsty. Before I panic about this - any experiences you can share?

Edited to add I am 7 weeks along.