Datasheet promises it's stable with 4.7uF MLCC, so it's not utter outdated crap like 1117. Does not need significant ESR to operate. 4.7uF MLCC is nearly zero ESR, 10uF is the same. But higher capacitance can still cause problems.
Very likely it's stable with 10uF MLCC, as well, but lacking stability curves, you don't know for sure.
Is your "already in design" 10uF capacitor an MLCC or something else? Do you really need that large value? If it's MLCC, larger package makes cracking more probable. You could just use 4.7uF in your design and if you really need 10uF somewhere, use two of these in parallel.
On input side, you can't have too much capacitance, or too low ESR, but very low ESR MLCCs on the input require damping against input voltage transients (hot-plugging). A cheap good old electrolytic cap at least 3-4 times the capacitance of the MLCC, in parallel, is the simplest way to deal with it; for example, a 10uF MLCC + 47uF elcap.