When will I bleed?

No period since July 25th. BFP at home 9/18 and positive blood 9/23, had bright red/pink then turned brown that night. confirmed chemical pregnancy by doc 9/24. Should I expect to start bleeding soon? I go back 10/1 to make sure HCG is back to 0 but unsure what to expect. Just ready to move past this and keep trying.