There are two ways that a couple can own a property. If you were to have your name added to the title, showing you as having a 'tenancy in common', you'd both own half of the house and each of you would be free to leave that half to whoever you chose.
However (in view of what you've written) it would make more sense for you to have a 'beneficial joint tenancy'. Then neither of you would own a specific share of the house; it would be your legal partnership that owned the whole of the house. Under a beneficial joint tenancy, when one partner dies the title to the property automatically passes to the surviving partner. (The deceased partner's 'share' of the house doesn't form part of their estate since no such share ever existed).
As things stand, if your husband dies before you, won't inherit the house until the executors to his will have sought and obtained probate, and then transferred the property to you. (If anyone chose to challenge the terms of the will you could experience problems). With a beneficial joint tenancy you'd become the full owner of the property immediately (and simply need to complete a form to update the Land Registry's records).
Chris