Kammala jumla mai zuwa: A shekara ta 1792, Shugaba George Washington ya nada Carmichael kwamishina mai cikakken iko (tare da William Short) don tattaunawa da yarjejeniya tare da Spain don kare haƙƙin kewayawa na Amurka zuwa Kogin Mississippi. An kammala yarjejeniyar ba da daɗewa ba bayan mutuwar Carmichael, kuma an san shi da Yarjejeniyar San Lorenzo ko Yarjejeniyar Pinckney, Thomas Pinckney ya shiga don kammala tattaunawar. Har ila yau, Carmichael ya shiga cikin shawarwari don yantar da 'yan jiragen ruwa na Amurka waɗanda Dey na Algiers ya kama su, wani yanayi wanda daga baya ya kai ga
Yaƙe-yaƙe na Barbary.