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Thank you for your question. We do not have an option to have money deposited weekly on an automatic basis, just monthly, bi-weekly, and twice a month. Having said that, users are able to manually add money to their account at any time using the "Add Money" feature on the goal page. Thanks, John
With weekly (manual) contributions, there's basically no time at which the goal is not "locked" (you can not close it) because you're always waiting for the most recent contribution to be verified.
So perhaps consider splitting your goal into two goals and set up interleaving - and automatic! - bi-weekly contributions.