"sweat all over" is correct and usable in written English.
For example, you could use it in a sentence like this: "I was so nervous that I was sweating all over when I gave my presentation."
"The sponge had blood all over it, sweat all over it, stained up with everything".
He is wearing purple scarf, even though the air is hot and there is sweat all over his face.
Its songs ride on vintage bluesy garage-rock guitar riffs, and its announced ambition is to "sweat, sweat, sweat all over you".
The only other thing he said was, "I want to go to sleep". I kept saying: "No, no, you've got to stay with us". He was shaking by this point, sweat all over him.
David Buik of BGC Partners was a money trader in 1992, and remembers seeing Norman Lamont "with sweat all over his brow and upper lip" as he announced that the UK would exit the ERM.
His prison social worker detailed this in her report: he wakes at night with sweat all over his body, hearing bomb blasts, smelling blood – experiencing the brutality of war.
Of course, if this were a real show, while the girls were sweating all over again the following night, as director I'd be in the Ivy, up to my pearl choker in sauvignon and home for an early bath, on 10%.
When I finally staggered to a halt, gasping, bathed in sweat, trembling all over, the bee had given up.
However, when he exercises or gets too hot, he sweats all over, quite normally.
A lawyer-blacksmith in her office, sweating all over her couch, slowly losing his grip?
