I was shooting with a T3i when I bought my 70-200 f/2.8 IS mkII a couple years back. Yes it worked great! I love the lens. It is not only my sharpest lens, it is also my quickest focusing lens and more importantly, it gives rich colors and deep impressive contrast and beautiful background blur/bokeh.
Good luck, and enjoy it!
Canon 5d mk 4, Canon 6D, EF 70-200mm L f/2.8 IS mk2; EF 16-35 f/2.8 L mk. III; Sigma 35mm f/1.4 "Art" EF 100mm f/2.8L Macro; EF 85mm f/1.8; EF 1.4x extender mk. 3; EF 24-105 f/4 L; EF-S 17-55mm f/2.8 IS; 3x Phottix Mitros+ speedlites
Why do so many people say "FER-tographer"? Do they take "fertographs"?