Win/loss statements ARE accepted as evidence of claimed gambling losses to offset winnings.
If you file jointly, husband's win/loss statements will do. It is all one return that includes your household income, expenses, and gambling winnings/losses.
I was audited years ago. All I had, and all I submitted (as instructed to do by the IRS), was my win/loss statements. Done, return accepted with no further action required.
If your return is selected for audit, the IRS sends you a booklet that, among other instructions, details what "evidence" is accepted for the audit, which included casino win/loss statements, personal records, losing horseracing tickets, losing keno tickets, etc. I'm assuming lottery tickets also. When I was audited our state did not yet have lottery at the time so I didn't pay attention to that. You can find this information on the web now.
Just save everything related to gambling losses, including win/loss statements (yours and your husbands) in your files.
The casinos include a disclaimer with the win/loss statement that it may not be considered accurate for tax reporting purposes, and the player is responsible for losses claimed. This is true, but the IRS does accept them as evidence they will use to audit your return. They could, of course, choose to ask for more evidence if something doesn't look right.