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Your eTA is electronically linked to your passport (that's the "e": "electronic), so you will not need to submit your passport. Note that you must enter Canada by air in this circumstance; you'll need a visitor visa to enter "by car, bus, train, or boat, including a cruise ship."
However, an eTA "is valid for up to five (5) years or until the passport expires, whichever comes first." If your passport is expiring soon, you may want to renew that first, or you'll have to get a new eTA again after.