Would not recommend simple parallel of the two halves of a L923D.
Semiconductors are notorious for not sharing the current equally. One half would likely take most of the current and either shut down or fail terminally.
The L293D is rated at 600mA continuous per phase so even with two in parallel, since the motor is rated 1.2 Amps it would have been very much on the limit. However the issue above takes precedence.
Have a look at the L297 and L298 pair for a 4A continuous as 2A per phase H bridge driver. Otherwise consider some discrete transistors.