Hi Andrew,

• Request a temporary increase to your API limit
• To increase your organization's API limit for a maximum of two weeks, create a case with Salesforce Customer Support and answer these questions:

1. Are you the System Administrator authorized on behalf of this Organization to make this request? Do you understand the implications of increasing the API limit?

2. What is the Organization ID of the production or sandbox instance where you would like to increase the API limit?

3. How many API calls are you requesting to obtain temporarily? (How high would you like to increase the limit?)

4. How long would you like for the increase to be applied? (Maximum of two weeks)
Note: Increases can only be requested singularly. Requests spanning concurrent two-week periods will not be granted.

5. Why do you need the API limit increase? (What is the business case?)

6. Are you doing a data upload or data migration? Is this increase in an integration?
If you're requesting this for a data upload or data migration, please also include:
How many records and what objects will you upload?
What batch size is being used?
What tool will be used? Is the bulk API used? (The bulk API allows to upload 10,000 records/batch x number of batches).
If you're requesting this for an integration, please also include:
What specific API calls will the integration be sending and how many?
What application will be used?
 
Request a permanent increase to your API limit
Permanently increasing your API limit (or for more than 2 weeks) can be requested by contacting your Account Executive.

Please check the below link for reference.
https://help.salesforce.com/articleView?id=000175738&type=1

I hope it will be helpful.

Please mark it best answer if the information is informative.

BestRegards
RahulKumar