Memory system and method of controlling nonvolatile memory

A memory system connectable to a host, comprising:

• a nonvolatile memory including a plurality of blocks each including a plurality of pages;
• and
• a controller electrically connected to the nonvolatile memory and configured to control the nonvolatile memory, wherein
• the controller is configured to:
• in response to receiving a first write command from the host, determine a first physical address indicative of a physical storage location of the nonvolatile memory to which first write data associated with the first write command is to be written, and update an address translation table such that the first physical address is associated with a logical address of the first write data;
• and
• transfer the first write data from a write buffer in a memory of the host to the controller, and write the first write data to a write destination location in a first write destination block of the nonvolatile memory, which is designated by the first physical address,
• the controller is configured to start updating the address translation table before the transfer of the first write data is finished or before the write of the first write data to the nonvolatile memory is finished.