Short answer is, it should work fine although you will need an e-SATA to SATA adapter cable.
I think this was answered on this question: What's the difference between SATA and eSATA?
Что произойдет, если вы подключите внутренний диск SATA к порту eSATA? Предположим, что на жесткий диск подается питание через кабель питания SATA, а не на диск eSATA.
Short answer is, it should work fine although you will need an e-SATA to SATA adapter cable.
I think this was answered on this question: What's the difference between SATA and eSATA?