This depends on the OpenAPI version.
OpenAPI 3.1+
Your example is valid in OpenAPI 3.1 and later versions, which are fully compatible with JSON Schema 2020-12.
type:
- 'null' # Note the quotes around 'null'
- string
# same as
type: ['null', string]
The above is equivalent to:
oneOf:
- type: 'null' # Note the quotes around 'null'
- type: string
The nullable keyword used in OAS 3.0.x (see below) does not exist in OAS 3.1+, it was removed in favor of the 'null' type.
OpenAPI 3.0.x
Nullable strings are defined as follows:
type: string
nullable: true
This is different from JSON Schema syntax because OpenAPI versions up to 3.0.x use their own flavor of JSON Schema ("extended subset"). One of the differences is that the type must be a single type and cannot be a list of types. Also there's no 'null' type; instead, the nullable keyword serves as a type modifier to allow null values.
OpenAPI 2.0
Version 2 does not support 'null' as the data type, so you are out of luck. You can only use type: string. But some tools support the vendor extension x-nullable: true to indicate nullable properties.
Consider migrating to OpenAPI v. 3 to get proper support for nulls.