NestJS - Request scoped service in transient logger

I'm currently trying to extend my logging class in my NestJS (v7) application with a unique request id. When I try to insert my request scoped service in my transient logger, the logger is always undefined if I inject it somewhere.

winston-logger.class.ts

import { Injectable, Scope } from '@nestjs/common';
import { Logger } from 'winston';
import { RequestInjector } from './request-injector.class';
import { WinstonAdapter } from './winston.adapter';

@Injectable({ scope: Scope.TRANSIENT })
export class WinstonLogger {
    private readonly logger: Logger;
    private requestId = 'default';
    private context = 'default';

    constructor(private readonly winstonAdapter: WinstonAdapter, private readonly requestInjector: RequestInjector) {
        this.logger = this.winstonAdapter.getLogger();
        this.requestId = this.requestInjector.getRequestId();
    }

    log(level: string, message: string, ...meta: any[]): void {
        meta.push({ requestId: this.requestId });
        this.logger.log(level, message, ...meta);
    }
    setContext(context: string) {
       this.context = context;
    }
}

request-injector.class.ts

import { Injectable, Scope } from '@nestjs/common';

@Injectable({ scope: Scope.REQUEST })
export class RequestInjector {
    private requestId = 'default';

    constructor() {}

    setRequestId(requestId: string) {
        this.requestId = requestId;
    }

    getRequestId(){
        return this.requestId;
    }
}

If I change the RequestInjector to DEFAULT (Singleton) or to TRANSIENT the logger is defined but if I change it to REQUEST the logger is undefined if I inject it somewhere. Am I missing something, why this doesn't work?

I can't change the scope of my logger because the context in my logger is TRANSIENT.

What I'm trying to achieve is that every class that injects my logger has its own context but should have the same requestId for a request.