Hi all, this is my first post. Now, please excuse my stupidity if I'm asking something to which the answer is obvious. I promise I do have a a fairly good understanding of bikes . Here's my question:

I have just got a new and my first road bike. The bike came with 700x23c tyres and the rims are as follows... 'Reparto Corse DRX4000 700CX2-14H F/V'. The inner tubes with the bike are 700x18/23c. I have bought some 700x25c tyres for the bike. Will these existing inner tubes be fine or do I need bigger ones? Basically, are 23c wide inner tubes fine for a 25c tyre?

Thanks