Those 5-pin low-side drivers are a particular favourite of mine (you can make a power555 with it, but that’s another story). They don’t always make good power drivers as they have the series-resistance to damp a MOSFET gate built in. However, I’m not sure we’re dealing with a conventional DC motor. I’ve use a lot of Sunon 12V 80mm fans, and they haven’t been conventional DC motors for three decades. There is a smoothing capacitor, and a transistor drive circuit to a brushless motor. They speed-control very well from about 50% of rated supply to 100%, but don’t really like being switched on and off rapidly, hence the LC filter on the PWM.@Ian0 - not seen that specific device before, but its bigger brother TC4429 does up to 6A in an 8-pin DIP and at £2.15 (1-off, RS Comp.) its no more expensive than an opamp & a TIPxx. Application note AN798 shows a simple motor speed controller that uses the motor back-emf as a speed feedback.
This could be adapted with an opamp instead of the speed pot, something like... (not tested)