During checkpointing of a virtual computing instance running in a first host computer, memory pages that have been modified during a checkpoint time interval are lazily transmitted from the first host computer to a second, backup, host computer. The lazy transmission technique includes the steps of stunning the virtual computing instance at the end of the time interval, and after said stunning, (i) detecting at the first host computer the memory pages that have been modified during the time interval, and (ii) copying one or more of the modified memory pages to a memory region in the first host computer. Then, after the virtual computing instance resumes execution, i.e., while the virtual computing instance is running in the first host computer, the copied memory pages are transmitted from the memory region in the first host computer to the second host computer.