You should definitely verify with testing, but I can show you how you would do the rough calculation.
OUDH-SS-112D Relay has 320Ω coil resistance. That would make the time constant:
τ = R * C
τ = [320Ω] * [2.2F]
τ = 704 seconds
Which means it will take 704 seconds to discharge 63% and get down to 4.44V. The relay will deactivate at 9 volts, which is 25% decay. It’s all exponential and such, so I’m going to use this calculator to get a more accurate result. So it would take 202 seconds to decay below 9V, or 3m22s